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Gushchin, Anatolii Konstantinovich

Total publications: 83 (74)
in MathSciNet: 82 (73)
in zbMATH: 61 (58)
in Web of Science: 31 (26)
in Scopus: 31 (30)
Cited articles: 56
Citations: 668
Presentations: 25

Number of views:
This page:7577
Abstract pages:29727
Full texts:12030
References:2587
Gushchin, Anatolii Konstantinovich
Professor
Doctor of physico-mathematical sciences (1974)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 23.01.1944
E-mail:
Keywords: parabolic equation, elliptic equation, hyperbolic equation, stabilization of solutions, boundery values, nonlocal problems.

Biography

1966 — graduated from Moscow State University.
1966–1969 — postgraduate in Steklov Mathematical institute.
From 1969 to now — collaborator of the Institute.

1969 — candidate degree. 1974 — doctor degree.

   
Main publications:
  1. A. K. Guschin, “Stabilizatsiya reshenii vtoroi kraevoi zadachi dlya parabolicheskogo uravneniya vtorogo poryadka”, Matem. sb., 101(143):4(12) (1976), 459–499  mathnet  zmath; A. K. Gushchin, “Stabilization of the solutions of the second boundary value problem for a second order parabolic equation”, Math. USSR-Sb., 30:4 (1976), 403–440  crossref
  2. A. K. Guschin, “O ravnomernoi stabilizatsii reshenii vtoroi smeshannoi zadachi dlya parabolicheskogo uravneniya”, Matem. sb., 119(161):4(12) (1982), 451–508  mathnet; A. K. Gushchin, “On the uniform stabilization of solutions of the second mixed problem for a parabolic equation”, Math. USSR-Sb., 47:2 (1984), 439–498  crossref  zmath
  3. A. K. Guschin, “O zadache Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka”, Matem. sb., 137(179):1(9) (1988), 19–64  mathnet; A. K. Gushchin, “On the Dirichlet problem for a second-order elliptic equation”, Math. USSR-Sb., 65:1 (1990), 19–66  crossref  mathscinet  zmath
  4. A. K. Guschin, “O vnutrennei gladkosti reshenii ellipticheskikh uravnenii vtorogo poryadka”, Sib. matem. zhurn., 46:5 (2005), 1036–1052  mathnet  zmath; A. K. Gushchin, “On the interior smoothness of solutions to second-order elliptic equations”, Siberian Math. J., 46:5 (2005), 826–840  crossref  mathscinet
  5. A. K. Guschin, “Lp-otsenki nekasatelnoi maksimalnoi funktsii dlya resheniya ellipticheskogo uravneniya vtorogo poryadka”, Matem. sb., 207:10 (2016), 28-55

https://www.mathnet.ru/eng/person8284
List of publications on Google Scholar
https://zbmath.org/authors/ai:gushchin.a-k
https://mathscinet.ams.org/mathscinet/MRAuthorID/211658
https://elibrary.ru/author_items.asp?authorid=161
https://orcid.org/0000-0001-8600-6021
https://www.webofscience.com/wos/author/record/F-8128-2013
https://www.scopus.com/authid/detail.url?authorId=7006190365

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. A. K. Gushchin, “On Dirichlet problem”, Theoret. and Math. Phys., 218:1 (2024), 51–67  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus

   2022
2. A. K. Gushchin, “On some properties of elliptic partial differential equation solutions”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243002 , 9 pp.  mathnet  crossref  mathscinet;

   2020
3. A. K. Gushchin, “Extensions of the space of continuous functions and embedding theorems”, Sb. Math., 211:11 (2020), 1551–1567  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2019
4. A. K. Gushchin, “On the Existence of $L_2$ Boundary Values of Solutions to an Elliptic Equation”, Proc. Steklov Inst. Math., 306 (2019), 47–65  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus
5. A. K. Gushchin, “The boundary values of solutions of an elliptic equation”, Sb. Math., 210:12 (2019), 1724–1752  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  zmath  isi  elib  elib  scopus

   2018
6. A. K. Gushchin, “The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation”, Sb. Math., 209:6 (2018), 823–839  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
7. A. K. Gushchin, “A Criterion for the Existence of $L_p$ Boundary Values of Solutions to an Elliptic Equation”, Proc. Steklov Inst. Math., 301 (2018), 44–64  mathnet  crossref  crossref  crossref  crossref  mathscinet  mathscinet  isi  elib  elib  scopus

   2016
8. A. K. Gushchin, “$L_p$-estimates for the nontangential maximal function of the solution to a second-order elliptic equation”, Sb. Math., 207:10 (2016), 1384–1409  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2015
9. A. K. Gushchin, “V.A. Steklov's Work on Equations of Mathematical Physics and Development of His Results in This Field”, Proc. Steklov Inst. Math., 289 (2015), 134–151  mathnet  crossref  crossref  isi  elib  elib  scopus
10. A. K. Gushchin, “On the Dirichlet problem for an elliptic equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 19:1 (2015), 19–43  mathnet  crossref  zmath  isi  rsci  elib
11. A. K. Gushchin, “Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation”, Sb. Math., 206:10 (2015), 1410–1439  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus

   2013
12. A. K. Gushchin, “$L_p$-estimates for solutions of second-order elliptic equation Dirichlet problem”, Theoret. and Math. Phys., 174:2 (2013), 209–219  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
13. A. K. Guschin, “$L_p$-otsenki nekasatelnoi maksimalnoi funktsii dlya reshenii ellipticheskogo uravneniya vtorogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 53–69  mathnet  crossref  rsci 2

   2012
14. A. K. Gushchin, “The Dirichlet problem for a second-order elliptic equation with an $L_p$ boundary function”, Sb. Math., 203:1 (2012), 1–27  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
15. A. K. Gushchin, “Estimates of the nontangential maximal function for solutions of a second-order elliptic equation”, Dokl. Math., 86:2 (2012), 667–669  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2011
16. A. K. Gushchin, “The estimates of the solution of the Dirichlet problem with boundary function from $L_p$ for a second-order elliptic equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 53–67  mathnet  crossref  rsci  elib
17. A. K. Gushchin, “Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from $L_p$”, Dokl. Math., 83:2 (2011), 219–221  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2009
18. V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zav'yalov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (obituary)”, Russian Math. Surveys, 64:3 (2009), 553–560  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2008
19. A. K. Guschin, “Vnutrennie otsenki obobschennykh reshenii ellipticheskogo uravneniya vtorogo poryadka”, Mezhdunarodnaya konferentsiya po matematicheskoi fizike i ee prilozheniyam, Tezisy dokladov (Samara, 8–13 sentyabrya 2008 g.), 2008, 60–63
20. A. K. Guschin, “Povedenie vblizi granitsy differentsialnykh kharakteristik reshenii elipticheskogo uravneniya vtorogo poryadka”, Vtoroe rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam, Tezisy dokladov (Moskva, MIAN, 5–11 oktyabrya 2008 g.), 2008, 27–28
21. A. K. Guschin, V. P. Mikhailov, “O suschestvovanii granichnykh znachenii u reshenii ellipticheskogo uravnenii”, Vestnik SamGU - Estestvennonauchnaya seriya, 2008, no. 8/1(67), 61–75
22. A. K. Guschin, V. P. Mikhailov, “Vnutrennie otsenki obobschennykh reshenii ellipticheskogo uravneniya vtorogo poryadka”, Vestnik SamGU - Estestvennonauchnaya seriya, 2008, no. 8/1(67), 76–94
23. A. K. Gushchin, “A strengthening of the interior Hölder continuity property for solutions of the Dirichlet problem for a second-order elliptic equation”, Theoret. and Math. Phys., 157:3 (2008), 1655–1670  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2007
24. A. K. Guschin, “O gladkosti reshenii zadachi Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka s kvadratichno summiruemoi granichnoi funktsiei”, Dokl. RAN, 415:1 (2007), 10–13  mathnet  mathscinet  zmath  elib 4
25. V. P. Mikhailov, A. K. Gushchin, “Additional chapters of course “Equations of Mathematical Physics””, Lekts. Kursy NOC, 7, Steklov Math. Inst., RAS, Moscow, 2007, 3–144 , 146 pp.  mathnet  crossref  zmath  elib

   2005
26. A. K. Guschin, “O vnutrennei gladkosti reshenii ellipticheskogo uravneniya vtorogo poryadka”, Dokl. RAN, 404:1 (2005), 14–17  mathnet  mathscinet  zmath  elib 3
27. A. K. Gushchin, “On the interior smoothness of solutions to second-order elliptic equations”, Siberian Math. J., 46:5 (2005), 826–840  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2004
28. A. K. Guschin, “Otsenki karlesonovskogo tipa reshenii ellipticheskogo uravneniya vtorogo poryadka”, Dokl. RAN, 396:1 (2004), 15–18  mathnet  mathscinet  zmath 3

   2003
29. V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (on his 80th birthday)”, Russian Math. Surveys, 58:6 (2003), 1237–1240  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2002
30. A. K. Gushchin, “A condition for the compactness of operators in a certain class and its application to the analysis of the solubility of non-local problems for elliptic equations”, Sb. Math., 193:5 (2002), 649–668  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2000
31. A. K. Guschin, “Uslovie polnoi nepreryvnosti operatorov, voznikayuschikh v nelokalnykh zadachakh dlya ellipticheskikh uravnenii”, Dokl. RAN, 373:2 (2000), 161–163  mathnet  mathscinet  zmath 5

   1998
32. A. K. Guschin, “Vnutrennie otsenki slabogo resheniya zadachi Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka”, Dokl. RAN, 358:6 (1998), 731–733  mathnet  mathscinet  zmath 3
33. A. K. Gushchin, “Some properties of the solutions of the Dirichlet problem for a second-order elliptic equation”, Sb. Math., 189:7 (1998), 1009–1045  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
34. V. S. Vladimirov, A. K. Gushchin, V. A. Il'in, V. N. Maslennikova, V. P. Mikhailov, E. I. Moiseev, B. V. Pal'tsev, V. K. Romanko, A. A. Samarskii, “Alekseǐ Alekseevich Dezin (on the occasion of his 75th birthday)”, Differ. Equ., 34:6 (1998), 721–724  mathnet  mathscinet

   1996
35. A. K. Guschin, V. P. Mikhailov, “Ob odnoznachnoi razreshimosti nelokalnykh zadach dlya ellipticheskogo uravneniya”, Dokl. RAN, 351:1 (1996), 7–8  mathnet  mathscinet  zmath 7

   1995
36. A. K. Gushchin, V. P. Mikhailov, “On the continuity of the solutions of a class of non-local problems for an elliptic equation”, Sb. Math., 186:2 (1995), 197–219  mathnet  crossref  mathscinet  zmath  isi  scopus
37. A. K. Gushchin, V. P. Mikhailov, “On solvability of nonlocal problems for a second-order elliptic equation”, Russian Acad. Sci. Sb. Math., 81:1 (1995), 101–136  mathnet  crossref  mathscinet  zmath  isi  scopus

   1994
38. A. K. Gushchin, V. P. Mikhaĭlov, “A condition that a class of nonlocal problems for a second-order elliptic equation be Fredholm”, Russian Acad. Sci. Dokl. Math., 48:3 (1994), 510–514  mathnet  mathscinet  zmath

   1993
39. I. V. Volovich, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavyalov, V. A. Il'in, V. M. Millionshchikov, V. N. Mikhailov, A. G. Sergeev, “Vladimirov Vasilii Sergeevich (70-th birthday tribute)”, Differential Equations, 29:2 (1993), 305–313  mathnet  mathscinet  isi
40. A. A. Logunov, A. A. Slavnov, O. I. Zavialov, O. A. Khrustalev, V. P. Mikhailov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavialov, A. G. Sergeev, V. P. Pavlov, I. Ya. Aref'eva, Yu. A. Tserkovnikov, “The 70th birthday of V. S. Vladimirov”, Theoret. and Math. Phys., 94:1 (1993), 1–2  mathnet  crossref  mathscinet  adsnasa  isi

   1992
41. A. K. Gushchin, V. P. Mikhailov, “On the existence of boundary values of solutions of an elliptic equation”, Math. USSR-Sb., 73:1 (1992), 171–194  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1991
42. V. S. Vladimirov, A. K. Guschin, A. A. Dezin, V. I. Zavyalov, V. M. Millionschikov, “Valentin Petrovich Mikhailov (k shestidesyatiletiyu so dnya rozhdeniya)”, Differents. uravneniya, 27:4 (1991), 725–730  mathnet  mathscinet  mathscinet
43. V. S. Vladimirov, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, B. I. Zavialov, V. M. Millionshchikov, “Valentin Petrovich Mikhailov (on his sixtieth birthday)”, Russian Math. Surveys, 46:4 (1991), 207–209  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1989
44. A. K. Gushchin, Yu. N. Drozhzhinov, V. M. Millionshchikov, V. P. Mikhailov, Differ. Uravn., 25:8 (1989), 1465  mathnet

   1988
45. A. K. Guschin, “O zavisimosti povedeniya pri bolshikh znacheniyakh vremeni resheniya parabolicheskogo uravneniya ot dannykh zadachi”, Kachestvennaya teoriya differentsialnykh uravnenii (Irkutsk, 1986), ed. V. M. Matrosov, Nauka, Sibirsk. otd., Novosibirsk, 1988, 72–82  mathscinet

   1989
46. A. K. Gushchin, “On the Dirichlet problem for a second order elliptic equation”, Soviet Math. Dokl., 38:2 (1989), 372–376  mathnet  mathscinet  zmath

   1990
47. A. K. Gushchin, “On the Dirichlet problem for a second-order elliptic equation”, Math. USSR-Sb., 65:1 (1990), 19–66  mathnet  crossref  mathscinet  zmath  scopus

   1989
48. A. K. Gushchin, V. P. Mikhailov, “Comparison theorems for solutions of hyperbolic equations”, Math. USSR-Sb., 62:2 (1989), 349–371  mathnet  crossref  mathscinet  zmath  scopus

   1986
49. A. K. Guschin, V. P. Mikhailov, “O ravnomernoi kvaziasimptotike resheniya zadachi Koshi dlya giperbolicheskogo uravneniya”, Dokl. AN SSSR, 287:1 (1986), 37–40  mathnet  mathscinet  zmath 3

   1988
50. A. K. Gushchin, V. P. Mikhailov, “On uniform quasiasymptotics of solutions of the second mixed problem for a hyperbolic equation”, Math. USSR-Sb., 59:2 (1988), 409–427  mathnet  crossref  mathscinet  zmath  scopus
51. O. I. Bogoyavlenskii, V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, V. P. Mikhailov, “Boundary value problems of mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 65–105  mathnet  mathscinet  zmath

   1986
52. A. K. Gushchin, V. P. Mikhailov, “Uniform quasi-asymptotic behavior of the solution of the Cauchy problem for a hyperbolic equation”, Dokl. Akad. Nauk SSSR, 287:1 (1986), 37–40  mathnet  mathscinet  zmath

   1985
53. A. K. Guschin, V. P. Mikhailov, Yu. A. Mikhailov, “Otsenki funktsii Grina i kriterii ravnomernoi stabilizatsii resheniya vtoroi smeshannoi zadachi dlya parabolicheskogo uravneniya vtorogo poryadka”, Dokl. AN SSSR, 282:1 (1985), 15–18  mathnet  mathscinet  zmath 1

   1987
54. A. K. Gushchin, V. P. Mikhailov, Yu. A. Mikhailov, “On uniform stabilization of the solution of the second mixed problem for a second order parabolic equation”, Math. USSR-Sb., 56:1 (1987), 141–162  mathnet  crossref  mathscinet  zmath  scopus

   1985
55. A. K. Gushchin, V. P. Mikhailov, Yu. A. Mikhailov, “Estimates for the Green function and a criterion for uniform stabilization of the solution of the second mixed problem for a second-order parabolic equation”, Dokl. Akad. Nauk SSSR, 282:1 (1985), 15–18  mathnet  mathscinet  zmath

   1984
56. A. K. Guschin, V. P. Mikhailov, “O ravnomernoi kvazistabilizatsii resheniya zadachi Koshi dlya giperbolicheskogo uravneniya”, Dokl. AN SSSR, 276:3 (1984), 532–535  mathnet  mathscinet  zmath 2

   1986
57. A. K. Gushchin, V. P. Mikhailov, “Uniform stabilization of the solution of the Cauchy problem for a second-order hyperbolic equation”, Proc. Steklov Inst. Math., 166 (1986), 79–95  mathnet  mathscinet  zmath

   1984
58. A. K. Gushchin, V. P. Mikhailov, “Uniform quasistabilization of the solution of the Cauchy problem for a hyperbolic equation”, Dokl. Akad. Nauk SSSR, 276:3 (1984), 532–535  mathnet  mathscinet  zmath

   1982
59. A. K. Guschin, “A criterion for uniform stabilization of solutions of the second mixed problem for a parabolic equation”, Dokl. AN SSSR, 264:5 (1982), 1041–1045  mathnet  mathscinet  mathscinet  zmath 1

   1984
60. A. K. Gushchin, “On the uniform stabilization of solutions of the second mixed problem for a parabolic equation”, Math. USSR-Sb., 47:2 (1984), 439–498  mathnet  crossref  mathscinet  zmath  scopus

   1981
61. V. S. Vladimirov, A. K. Guschin, A. A. Dezin, V. M. Millionschikov, L. S. Pontryagin, “Valentin Petrovich Mikhailov (k pyatidesyatiletiyu so dnya rozhdeniya)”, Differents. uravneniya, 17:4 (1981), 757–762  mathnet  mathscinet  zmath

   1980
62. A. K. Guščin, “On the behaviour as $t\rightarrow \infty $ of solutions of the second mixed problem for a second-order parabolic equation”, Appl. Math. Optim., 6:2 (1980), 169–180  mathscinet  isi
63. A. K. Gushchin, V. P. Mikhailov, “On boundary values in $L_p$, $p>1$, of solutions of elliptic equations”, Math. USSR-Sb., 36:1 (1980), 1–19  mathnet  crossref  mathscinet  zmath  isi  scopus

   1978
64. A. K. Guschin, V. P. Mikhailov, “O povedenii vblizi granitsy resheniya tretei kraevoi zadachi dlya ellipticheskogo uravneniya vtorogo poryadka”, Kompleksnyi analiz i ego prilozheniya, Nauka, M., 1978, 193–202  mathscinet

   1976
65. A. K. Guschin, V. P. Mikhailov, “The behavior in the neighborhood of the boundary of a solution of the third boundary value problem for an elliptic equation”, Dokl. AN SSSR, 229:6 (1976), 1299–1302  mathnet  mathscinet  mathscinet  zmath
66. A. K. Guschin, “O povedenii pri $t\to\infty$ reshenii vtoroi kraevoi zadachi dlya parabolicheskogo uravneniya vtorogo poryadka”, Dokl. AN SSSR, 227:2 (1976), 273–276  mathnet  mathscinet  mathscinet  zmath  isi 1
67. A. K. Gushchin, “Stabilization of the solutions of the second boundary value problem for a second order parabolic equation”, Math. USSR-Sb., 30:4 (1976), 403–440  mathnet  crossref  mathscinet  zmath  isi  scopus
68. A. K. Gushchin, “On an estimate of the Dirichlet integral in unbounded domains”, Math. USSR-Sb., 28:2 (1976), 249–261  mathnet  crossref  mathscinet  zmath  isi  scopus

   1975
69. A. K. Guschin, V. P. Mikhailov, A. L. Muravei, “O stabilizatsii reshenii nestatsionarnykh granichnykh zadach dlya lineinykh uravnenii v chastnykh proizvodnykh”, Nekotorye problemy gazovoi dinamiki, Dinamika sploshnoi sredy, 23, 1975, 57–91  mathscinet
70. A. K. Gushchin, “Some properties of a generalized solution of the second boundary-value problem for a parabolic equation”, Math. USSR-Sb., 26:2 (1975), 225–244  mathnet  crossref  mathscinet  zmath  scopus

   1973
71. A. K. Gushchin, “The estimates of the solutions of boundary value problems for a second order parabolic equation”, Proc. Steklov Inst. Math., 126 (1973), 1–46  mathnet  mathscinet  zmath

   1972
72. A. K. Guschin, V. P. Mikhailov, “O povedenii pri $t\to\infty$ resheniya zadachi Koshi dlya parabolicheskogo uravneniya”, Primenenie funktsionalnykh metodov k kraevym zadacham matematicheskoi fiziki, Materialy III-go Sovetsko-chekhoslovatskogo soveschaniya, In-t matematiki AN SSSR, Sibirskoe otd., Novosibirsk, 1972, 45–49  mathscinet
73. A. K. Guschin, “Ob otsenkakh reshenii II i III kraevykh zadach dlya parabolicheskogo uravneniya vtorogo poryadka v neogranichennykh po prostranstvennym peremennym oblastyakh”, Dokl. AN SSSR, 206 (1972), 788–791  mathnet  mathscinet  mathscinet  zmath 1
74. A. K. Guschin, “Ob otsenkakh snizu reshenii vtoroi kraevoi zadachi dlya parabolicheskogo uravneniya vtorogo poryadka v neogranichennykh po prostranstvennym peremennym oblastyakh”, Dokl. AN SSSR, 206 (1972), 1284–1287  mathnet  mathscinet  mathscinet  zmath 1
75. A. K. Guschin, “Estimates from below for the solutions of boundary value problems for a parabolic equation”, Dokl. AN SSSR, 203 (1972), 274–277  mathnet  mathscinet  mathscinet  zmath

   1971
76. A. K. Gushchin, V. P. Mikhailov, “The stabilization of the solution of the Cauchy problem for a parabolic equation with one space variable”, Proc. Steklov Inst. Math., 112 (1971), 187–210  mathnet  mathscinet  zmath
77. A. K. Guščin, V. P. Mihaĭlov, “The stabilization of the solution of the Cauchy problem for a parabolic equation”, Differencial'nye Uravnenija, 7:2 (1971), 297–311  mathnet  mathscinet  zmath
78. A. K. Gushchin, V. P. Mikhajlov, “On stabilization of the solution of the Cauchy problem for a one-dimensional parabolic equation”, Sov. Math. Dokl., 12 (1971), 419–422  mathnet  mathscinet  mathscinet  zmath

   1970
79. A. K. Gushchin, V. P. Mikhajlov, “On stabilization of the solution of the Cauchy problem for a parabolic equation”, Sov. Math. Dokl., 11 (1970), 1215–1219  mathnet  mathscinet  mathscinet  zmath
80. A. K. Gushchin, “The rate of stabilization of the solution of a parabolic equation in an unbounded domain”, Differencial'nye Uravnenija, 6 (1970), 741–761  mathnet  mathscinet  zmath

   1969
81. A. K. Gushchin, “On the speed of stabilization of the solutions of a boundary problem for a parabolic equation”, Siberian Math. J., 10:1 (1969), 30–40  mathnet  crossref  mathscinet  mathscinet  zmath  scopus

   1968
82. A. K. Guschin, “O stabilizatsii resheniya parabolicheskogo sravneniya”, Kraevye zadachi dlya differentsialnykh uravnenii. II, Tr. MIAN SSSR, 103, 1968, 51–57  mathnet  mathscinet  zmath 2

   1967
83. A. K. Gushchin, “Some estimates of solutions of boundary value problems for an equation of heat conduction in an unbounded domain”, Proc. Steklov Inst. Math., 91 (1967), 1–16  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Расширения пространства непрерывных функций и их применение к исследованию задачи Дирихле
A. K. Gushchin
Annual Session of Steklov Mathematical Institute (Best results 2024)
November 20, 2024 17:30   
2. Special extension of the space of continuous functions and its application to the Dirichlet problem
A. K. Gushchin
Steklov Mathematical Institute Seminar
June 20, 2024 16:00   
3. О задаче Дирихле
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
June 6, 2024 11:00   
4. Расширения пространства непрерывных функций и их применение к задаче Дирихле
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
January 25, 2024 11:00   
5. On the Dirichlet problem
A. K. Gushchin
International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
January 9, 2023 16:00   
6. Некоторые свойства решений эллиптических уравнений
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 11, 2021 11:00   
7. Some properties of solutions of elliptic equations
A. K. Gushchin
International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich
September 30, 2021 16:40   
8. Extensions of the space of continuous functions and its application to the Dirichlet problem for elliptic equations
Anatolii Gushchin
International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov
November 23, 2020 17:45   
9. Обобщения пространств непрерывных функций; теоремы вложения (продолжение)
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 12, 2019 11:00
10. Обобщения пространств непрерывных функций; теоремы вложения
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 5, 2019 11:00
11. Пространства $s$-мерно непрерывных функций; теоремы вложения
A. K. Gushchin
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 16, 2019 14:45   
12. On boundary values of solutions of an elliptic equation
A. K. Gushchin
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 13, 2018 15:00   
13. Критерий существования граничных значений в $L_p$ решений эллиптического уравнения
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 28, 2017 11:00
14. Задача Дирихле в трудах В.П. Михайлова и развитие его результатов в этом направлении
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 15, 2016 11:00
15. On Dirichlet problem for elliptic equation
A. K. Gushchin
Fourth international conference "Mathematical Physics and Its Applications"
August 26, 2014 09:30
16. $L_p$-оценки решения задачи Дирихле для эллиптического уравнения второго порядка
A. K. Gushchin
Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013
November 20, 2013 13:20   
17. $L_p$-оценки решения задачи Дирихле для эллиптического уравнения
A. K. Gushchin
Conference "Mathematical Physics. Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov
November 15, 2013 11:00   
18. Труды В. А. Стеклова по уравнениям математической физики и развитие его результатов в этой области
A. K. Gushchin
International conference "Contemporary Problems of Mathematics, Mechanics, and Mathematical Physics" dedicated to the 150th anniversary of V. A. Steklov
May 13, 2013 11:15   
19. Теорема карлесоновского типа для решений эллиптического уравнения второго порядка (продолжение)
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 13, 2012 11:00
20. Теорема карлесоновского типа для решений эллиптического уравнения второго порядка
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 1, 2012 11:00
21. Some strengthening of the property of Hölder continuity of solutions of a second-order elliptic equation
A. K. Gushchin
Steklov Mathematical Institute Seminar
March 20, 2008 16:00   
22. Мозеровское доказательство теоремы де Джорди–Неша о непрерывности по Гёльдеру решений эллиптических уравнений (продолжение)
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 7, 2006
23. Мозеровское доказательство теоремы де Джорди–Неша о непрерывности по Гёльдеру решений эллиптических уравнений
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 30, 2006
24. О внутренней гладкости решений эллиптического уравнения второго порядка (продолжение)
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
January 13, 2005
25. О внутренней гладкости решений эллиптического уравнения второго порядка
A. K. Gushchin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 30, 2004

Books in Math-Net.Ru
  1. V. P. Mikhailov, A. K. Gushchin, Additional chapters of course “Equations of Mathematical Physics”, Lekts. Kursy NOC, 7, 2007, 146 с.
    http://mi.mathnet.ru/book649

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