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Faminskii, Andrei Vadimovich

Total publications: 66 (62)
in MathSciNet: 44 (43)
in zbMATH: 36 (35)
in Web of Science: 25 (24)
in Scopus: 29 (29)
Cited articles: 38
Citations in Math-Net.Ru: 115
Citations in Web of Science: 194
Citations in Scopus: 226

Number of views:
This page:1536
Abstract pages:4499
Full texts:1343
References:352
Faminskii, Andrei Vadimovich
Professor
Doctor of physico-mathematical sciences (2001)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 10.03.1958
Phone: +7 (495) 955 09 36, +7 (499) 137 52 34
E-mail: ,
Keywords: partial differential equations; linear and quasilinear evolution equations; Korteweg–de Vries equation and its generalizations.
UDC: 517.95, 519.62, 517.956, 517.957, 517.958
MSC: 35, 65, 35Q20, 35D05, 76B15

Subject:

Scientific interests are in the field of the theory of boundary-value problems for the Korteweg–de Vries equation and its generalizations. Results on nonlocal resolvability and well-posedness of initial and initial boundary-value problems in different domains are established for the Korteweg–de Vries equation and its generalizations, including the cases of several space variables and high odd order equations. For initial boundary-value problems construction and investigation of special solutions of boundary potential type to corresponding linear equations are the essential part of the study.

Biography

Graduated from Faculty of Mechanics and Mathematics of Lomonosov Moscow State University in 1980 (Department of Differential Equations). Ph.D thesis was defended in 1984. Dr.Sc thesis was defended in 2001.

   
Main publications:
  1. Andrei V. Faminskii, “Initial-boundary value problems in a half-strip for two-dimensional Zakharov-Kuznetsov equation”, Annales de lInstitut Henri Poincare C, Analyse Non Lineaire, 35:5 (2018), 1235–1265  crossref  zmath  isi  scopus
  2. Andrei V. Faminskii, “Initial-boundary value problems in a rectangle for two -dimensional Zakharov-Kuznetsov equation”, Journal of Mathematical Analysis and Applications, 463 (2018), 760-793  crossref  mathscinet  zmath  isi  scopus
  3. Andrei V. Faminskii, “An initial–boundary value problem for three-dimensional Zakharov–Kuznetsov equation”, Journal of Differential Equations, 260 (2016), 3029–3055  crossref  mathscinet  zmath  isi  scopus
  4. Andrei V. Faminskii, “An initial-boundary value problem in a strip for two-dimensional Zakharov–Kuznetsov–Burgers equation”, Nonlinear Analysis, 116 (2015), 132–144  crossref  mathscinet  zmath  isi  scopus
  5. Andrei V. Faminskii, “An initial-boundary value problem in a strip for two-dimensional equations of Zakharov–Kuznetsov type”, Contemporary Mathematics, 653, American Mathmatical Society, 2015, 137–162  crossref  mathscinet  isi
  6. Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti, Andrei Faminskii, Fábio Natali, “Decay of solutions to damped Korteweg–de Vries type equation”, Apllied Mathematics & Optimization, 65:2 (2012), 221–251  crossref  mathscinet  zmath  isi  scopus
  7. Andrei V. Faminskii, “Weak solutions to initial-boundary-value problems for quasilinear equations of an odd order”, Advances in Differential Equations, 17:5–6 (2012), 421–470  mathscinet  zmath  isi  scopus
  8. Andrei V. Faminskii, “Well-posed initial-boundary value problems for the Zakharov–Kuznetsov equation”, Electronic Journal of Differential Equations, 2008:127 (2008), 1–23  mathscinet  zmath
  9. A. V. Faminskii, “Global well-posedness of two initial–boundary-value problems for the Korteweg–de Vries equation”, Differential Integral Equations, 20:6 (2007), 601–642  mathscinet  zmath  isi
  10. A. V. Faminskii, “An initial boundary-value problem in a half-strip for the Korteweg–de Vries equation in fractional-order Sobolev spaces”, Comm. Partial Differential Equations, 29:11–12 (2004), 1653–1695  mathscinet  zmath  isi  scopus
  11. A. V. Faminskii, “Mixed problems for the Korteweg–de Vries equation”, Sb. Math., 190:6 (1999), 903–935  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  12. A. V. Faminskii, “The Cauchy problem for the Zakharov–Kuznetsov equation”, Differential Equations, 31:6 (1995), 1002–1012  mathnet  mathscinet  isi
  13. A. V. Faminskii, “Cauchy problem for the generalized Kadomtsev–Petviashvili equation”, Siberian Math. Journal, 33:1 (1992), 133–143  crossref  mathscinet  isi  scopus
  14. A. V. Faminskii, “The Cauchy problem for odd-order quasilinear equations”, Math. USSR-Sb., 68:1 (1991), 31–59  mathnet  crossref  mathscinet  zmath  isi
  15. S. N. Kruzhkov, A. V. Faminskii, “Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation”, Math. USSR-Sb., 48:2 (1984), 391–421  mathnet  crossref  mathscinet  zmath  scopus

http://www.mathnet.ru/eng/person8661
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/189859

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |



   2018
1. Andrei V. Faminskii, “Initial-boundary value problems in a half-strip for two-dimensional Zakharov-Kuznetsov equation”, Annales de lInstitut Henri Poincare C, Analyse Non Lineaire, 35:5 (2018), 1235–1265  crossref  zmath  isi  scopus
2. Andrei V. Faminskii, “Initial-boundary value problems in a rectangle for two -dimensional Zakharov-Kuznetsov equation”, Journal of Mathematical Analysis and Applications, 463 (2018), 760-793  crossref  mathscinet  zmath  isi  scopus

   2017
3. Andrei V. Faminskii, “On Strichartz estimates in an abstract form”, New Trends in Analysis and Interdisciplinary Applications, Trends in Mathematics, Research Perspectives, eds. Pei Dang, Min Ku, Tao Qian, Luigi G. Rodino, Birkhäuser, 2017, 473–480  crossref  mathscinet  isi  scopus

   2016
4. Andrei V. Faminskii, “An initial–boundary value problem for three-dimensional Zakharov–Kuznetsov equation”, Journal of Differential Equations, 260 (2016), 3029–3055  crossref  mathscinet  zmath  isi  scopus
5. M. A. Opritova, A. V. Faminskii, “On the Cauchy problem for the generalized Kawahara equation”, Differential Equations, 52:3 (2016), 373–385  crossref  crossref  isi  scopus
6. A. V. Faminskii, A. A. Nikolaev, “On stationary solutions of KdV and mKdV equations”, Differential and Difference Equations with Applications, Springer Proceedings in Mathematics & Statistics, 164, eds. S. Pinelas et al., Springer International Publishing Switzerland, 2016, 63–70  crossref  zmath  isi  scopus

   2015
7. A. P. Antonova, A. V. Faminskii, “On the Regularity of Solutions of the Cauchy Problem for the Zakharov–Kuznetsov Equation in Hölder Norms”, Math. Notes, 97:1 (2015), 12–20  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
8. Andrei V. Faminskii, “An initial-boundary value problem in a strip for two-dimensional Zakharov–Kuznetsov–Burgers equation”, Nonlinear Analysis, 116 (2015), 132–144  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 5)
9. A. P. Antonova, A. V. Faminskii, “On internal regularity of solutions to the initial value problem for the Zakharov–Kuznetsov equation”, Bulletin of Tambov University, 20:5 (2015), 999–1006  elib
10. M. A. Opritova, A. V. Faminskii, “On large-time decay of solutions to an initial-boundary value problem on a semi-axis for the generalized Kawahara equation”, Bulletin of Tambov University, 20:5 (2015), 1331–1337  elib
11. Andrei V. Faminskii, “An initial-boundary value problem in a strip for two-dimensional equations of Zakharov–Kuznetsov type”, Contemporary Mathematics, 653, American Mathmatical Society, 2015, 137–162  crossref  mathscinet  isi (cited: 2)

   2018
12. A. P. Antonova, A. V. Faminskii, “On regularity of solutions for initial-boundary value problems for the Zakharov–Kuznetsov equation”, Journal of Mathematical Sciences, 233:4 (2018), 427–445  mathnet  crossref

   2015
13. Andrei V. Faminskii, Mariya A. Opritova, “On the initial-boundary-value problem in a half-strip for a generalized Kawahara equation”, Journal of Mathematical Sciences, 206:1 (2015), 17–38  crossref  mathscinet  zmath  scopus

   2014
14. A. V. Faminskii, Selected chapters of the theory of evolution equations, Peoples' Friendship Univ. Russia, Moscow, 2014 , 163 pp., textbook

   2013
15. A. V. Faminskii, A. P. Antonova, “On internal regularity of solutions to the initial value problem for the Zakharov–Kuznetsov equation”, Progress in Partial Differential Equations, Asymptotic Profiles, Regularity and Well-Posedness, Springer Proceedings in Mathematics & Statistics, 44, eds. M. Reissig, M. Ruzhansky, Springer International Publishing, 2013, 53–74  crossref  mathscinet  zmath  scopus (cited: 3)
16. Evgeniya S. Baykova, Andrei V. Faminskii, “On initial-boundary value problems in a strip for generalized two-dimensional Zakharov–Kuznetsov equation”, Advances in Differential Equations, 18:7–8 (2013), 663–686  mathscinet  zmath  isi (cited: 9)  scopus (cited: 10)

   2012
17. Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti, Andrei Faminskii, Fábio Natali, “Decay of solutions to damped Korteweg–de Vries type equation”, Apllied Mathematics & Optimization, 65:2 (2012), 221–251  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 11)
18. Andrei V. Faminskii, “Weak solutions to initial-boundary-value problems for quasilinear equations of an odd order”, Advances in Differential Equations, 17:5–6 (2012), 421–470  mathscinet  zmath  isi (cited: 9)  scopus (cited: 10)

   2014
19. A.V. Faminskii, M.A. Opritova, “On the initial-value problem for the Kawahara equation”, Journal of Mathematical Sciences, 201:5 (2014), 614–633  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   2011
20. A. V. Faminskii, R. V. Kuvshinov, “Initial-boundary value problems for the generalized Kawahara equation”, Russian Math. Surveys, 66:4 (2011), 819–821  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
21. A. V. Faminskii, Functional spaces of evolutional type, Peoples' Friendship Univ. Russia, Moscow, 2011 , 144 pp., textbook
22. Andrei V. Faminskii, Evolution Functional Spaces. The basis of the theory, Lambert Academic Publishing, Saarbrücken, Germany, 2011 , 81 pp.

   2010
23. Andrei V. Faminskii, Nikolai A. Larkin, “Odd-order quasilinear evolution equations posed on a bounded interval”, Bol. Soc. Paranaense Mat. (3s.), 28:1 (2010), 67–77  crossref  mathscinet  zmath  scopus (cited: 7)
24. Andrei V. Faminskii, Nikolai A. Larkin, “Initial-boundary value problems for quasilinear dispersive equations posed on a bounded interval”, Electronic Journal of Differential Equations, 2010:1 (2010), 1–20  mathscinet

   2009
25. K. Sangare, A. V. Faminskii, “Weak Solutions of a Mixed Problem in a Half-Strip for a Generalized Kawahara Equation”, Math. Notes, 85:1 (2009), 90–100  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 2)
26. R. V. Kuvshinov, A. V. Faminskii, “Mixed problem for the Kawahara equation in a half-strip”, Differential Equations, 45:3 (2009), 404–415  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
27. Andrei V. Faminskii, Initial-boundary value problems for quasilinear evolution equations of an odd order, Lectures, III Encontro Nacional de Analise Matemática e Aplicações (III Nat. Meeting Math. Anal. Appl.), Maringá, Brazil, November 18–20, 2009, 38 p., 2009

   2008
28. A. V. Faminskii, “Cauchy Problem for the Korteweg–de Vries Equation in the Case of a Nonsmooth Unbounded Initial Function”, Math. Notes, 83:1 (2008), 107–115  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
29. Andrei V. Faminskii, “Well-posed initial-boundary value problems for the Zakharov–Kuznetsov equation”, Electronic Journal of Differential Equations, 2008:127 (2008), 1–23  mathscinet  zmath
30. Andrei V. Faminskii, Irina Yu. Bashlykova, “Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order”, Ukranian Mathematical Bulletin, 5:1 (2008), 83–98  mathscinet

   2007
31. A. V. Faminskii, “Global well-posedness of two initial–boundary-value problems for the Korteweg–de Vries equation”, Differential Integral Equations, 20:6 (2007), 601–642  mathscinet  zmath  isi (cited: 22)
32. A. V. Faminskii, E. S. Baykova, “Weak solutions to a mixed problem with two boundary conditions for the generalized Kawahara equation”, Nonclassical equations of mathematical physics, Proc. Int. Conf. “Differential Equations, Function Theory and Applications”, dev. 100-th anniv. acad. I. N. Vekua (Novosibirsk, May 28 – June 2, 2007), eds. A. I. Kozhanov, Inst. Math. Siberian Branch Acad. Sci., Novosibirsk, 2007, 298–306
33. Andrei V. Faminskii, “Quasilinear evolution equations of the third order”, Bol. Soc. Paranaense Mat. (3s.), 25:1-2 (2007), 91–108  mathscinet  zmath  scopus (cited: 2)
34. A. V. Faminskii, “Nonlocal well-posedness of the mixed problem for the Zakharov–Kuznetsov equation”, Journal Math. Sci., 147:1 (2007), 6524–6537  crossref  mathscinet  zmath  elib (cited: 4)  scopus (cited: 8)

   2006
35. A. V. Arutyunov, V. L. Kamynin, V. A. Trenogin, S. V. Uspenskii, A. V. Faminskii, E. F. Mishchenko, “Maslennikova Vera Nikolaevna”, Modern mathematical education and problems of the history and methodolody of mathematics, Int. Sci. Conf 6-th Rus. School History Math. (Tambov, September 11–15, 2006), eds. A. A. Artemov, Pershin R. V. Publ., Tambov, 2006, 28–32

   2004
36. A. V. Faminskii, “An initial boundary-value problem in a half-strip for the Korteweg–de Vries equation in fractional-order Sobolev spaces”, Comm. Partial Differential Equations, 29:11–12 (2004), 1653–1695  mathscinet  zmath  isi (cited: 30)  scopus (cited: 33)
37. A. V. Faminskii, “On two initial boundary value problems for the generalized KdV equation”, Nelineinye granichnye zadachi (Nonlinear Boundary Value Problems), 14 (2004), 58–71  zmath

   2002
38. A. V. Faminskii, “On the mixed problem for quasilinear equations of the third order”, Journal Math. Sci., 110:2 (2002), 2476–2507  crossref  mathscinet  zmath  scopus (cited: 15)

   2001
39. A. V. Faminskii, “On nonlocal well-posedness of mixed problem in a half-strip for the generalized Korteweg-de Vries equation”, Math. Modelling, 13:12 (2001), 115–125  mathnet  mathscinet  zmath
40. A. V. Faminskii, “On an initial boundary value problem in a bounded domain for the generalized Korteweg–de Vries equation”, Functional Differential Equations, 8:1-2 (2001), 183–194  mathscinet  zmath
41. A. V. Faminskii, “On a mixed problem in a half-strip with two boundary conditions for the generalized Korteweg–de Vries equation”, Bulletin Peoples' Friendship Univ. Russia, ser. math., 8:2 (2001), 114–127
42. A. V. Faminskii, Boundary value problems for Korteweg–de Vries equation and ita generalizations, Thesis DrSc phys., math., Moscow Lomonosov Univ., Moscow, 2001 , 333 pp.

   2000
43. A. V. Faminskii, “On mixed problems for the generalized Korteweg–de Vries equation”, Complex analysis, differential equations and related problems, Proc. Int. Conf. (Ufa, 2000), Part II, Differential Equations, eds. L. A. Kalyakin, Inst. Math. with Comp. Center Acad. Sci., Ufa, 2000, 146–150

   1999
44. A. V. Faminskii, “Mixed problems for the Korteweg–de Vries equation”, Sb. Math., 190:6 (1999), 903–935  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 14)  scopus (cited: 11)
45. A. V. Faminskii, “Generalized solutions to a mixed problem in a half-strip for the Korteweg–de Vries equation”, Bulletin Peoples' Friendship Univ. Russia, ser. math., 6:1 (1999), 191–215  mathscinet
46. A. V. Faminskii, “On mixed problems for the Korteweg–de Vries equation with irregular boundary data”, Dokl. Math., 59:3 (1999), 366–367  mathnet  mathscinet  scopus (cited: 2)

   1998
47. N. S. Bakhvalov, M. I. Zelikin, A. S. Kalashnikov, V. L. Kamynin, O. A. Oleinik, E. Yu. Panov, N. S. Petrosyan, V. M. Tikhomirov, A. V. Faminskii, V. N. Chubarikov, “Stanislav Nikolaevich Kruzhkov (obituary)”, Russian Math. Surveys, 53:5 (1998), 1071–1078  mathnet  crossref  crossref  mathscinet  zmath  isi

   1996
48. A. V. Faminskii, “Nonlocal well-posedness of a mixed problem in a half-strip for the Korteweg–de Vries equation”, Vestnik Ros. un-ta druzhby narodov, ser. matem. (Bulletin Peoples' Friendship Univ. Russia, ser. math.), 3:1 (1996), 156–176  zmath
49. A. V. Faminskii, “Nonlocal well-posedness of boundary value problems for the Korteweg–de Vries equationand its generalizations”, Materials Int. Conf. and Chebyshev readings dev. 175-th anniv. P.L.Chebyshev, Vol. 2, Moscow Lomonosov Univ., Moscow, 1996, 341–344  mathscinet

   1995
50. A. V. Faminskii, “Nonlocal solutions of the Cauchy problem for the Kadomtsev–Petviashvili I equation”, Bulletin Peoples' Friendship Univ. Russia, ser. math., 2:1 (1995), 155–170
51. A. V. Faminskii, “The Cauchy problem for the Zakharov–Kuznetsov equation”, Differential Equations, 31:6 (1995), 1002–1012  mathnet  mathscinet  isi (cited: 63)

   1994
52. Andrei V. Faminskii, “On the Cauchy problem for certain multidimensional generalizations of the KdV equation”, Memorias Esquela de Verano (Proceedings of the Summer School), Geometría Differential, Análisis Numérico and Ecuaciones Diferenciales Parciales (Differential Geometry, Numerical Analysis and Partial Differential Equations) (Medellín, July 25 – August 6, 1994), eds. J. B. Cossio, Univ. Nac. Colombia Sede Medellín (Nat. Univ. Colombia, Branch Medellín), Medellín, 1994, 15–26

   1992
53. A. V. Faminskii, “Cauchy problem for the generalized Kadomtsev–Petviashvili equation”, Siberian Math. Journal, 33:1 (1992), 133–143  crossref  mathscinet  isi (cited: 4)  scopus (cited: 7)

   1990
54. A. V. Faminskii, “The Cauchy problem for the Kadomtsev–Petviashvili equation”, Russian Math. Surveys, 45:1 (1990), 203–204  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)

   1991
55. A. V. Faminskii, “The Cauchy problem for odd-order quasilinear equations”, Math. USSR-Sb., 68:1 (1991), 31–59  mathnet  crossref  mathscinet  zmath  isi (cited: 9)

   1990
56. A. V. Faminskii, “Cauchy problem for the Korteweg–de Vries equation and its generalizations”, Journal Math. Sci, 50:1 (1990), 1381–1420  crossref  mathscinet  scopus (cited: 10)

   1989
57. A. V. Faminskii, “A mixed problem in a half-strip for the Korteweg–de Vries equation and its generalizations”, Trans. Moscow. Math. Soc., 1989, 53–91  mathnet  mathscinet  zmath

   1985
58. A. V. Faminskii, On a mixed problem in a half-strip for equations of Korteweg–de Vries type, Dep. in VINITI № 8046-85, 10 p., 1985

   1984
59. A. V. Faminskii, Cauchy problem and a mixed problem in a half-strip for equations of Korteweg–de Vries type, Thesis PhD phys., math., Moscow Lomonosov Univ., Moscow, 1984 , 147 pp.
60. S. N. Kruzhkov, A. V. Faminskii, “Generalized solutions of the Cauchy problem for the Korteweg-de Vries equation”, Math. USSR-Sb., 48:2 (1984), 391–421  mathnet  crossref  mathscinet  zmath  scopus (cited: 81)

   1983
61. S. N. Kruzhkov, A. V. Faminskii, “On continuity properties of solutions of some classes of nonstationary equations”, Vestnik Mosk. Univ., ser. Math., 38:3 (1983), 29–36  mathscinet  zmath
62. A. V. Faminskii, “On Cauchy problem and a mixed problem in a half-strip for equations of Korteweg–de Vries type”, Dynamical problems of mechanics of continuum media, Dynamics of continuum media, 63, eds. V. N. Monakhov, Inst. Hydrodynamics Siberian Branch Acad. Sci. USSR, Novosibirsk, 1983, 152–158  mathscinet
63. S. N. Kruzhkov, A. V. Faminskii, “Generalized solutions to Cauchy problem for Burgers and Korteweg–de Vries equations”, General theory of boundary problems, eds. I. V. Skrypnik, Scientific Idea, Kiev, 1983, 94–101  mathscinet
64. A. V. Faminskii, Solvability of a mixed problem in a half-strip and Cauchy problem for equations of Korteweg–de Vries type, Dep. in VINITI № 4291-83, 31 p., 1983

   1981
65. A. V. Faminskii, “The Cauchy problem for the Korteweg–de Vries equation when the initial data are irregular”, Russian Math. Surveys, 36:3 (1981), 248–249  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
66. S. N. Kruzhkov, A. V. Faminskii, “Generalized solutions of the Korteweg–de Vries equation”, Soviet Math. Dokl., 24:3 (1981), 676–679  mathnet  mathscinet  mathscinet  zmath  adsnasa

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