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Shakhmurov, Veli B
Professor
Doctor of physico-mathematical sciences
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 10.07.1951
E-mail:
Keywords: Schrődinger equations, elliptic operators, local and global solutions, Strichartz type inequalities, regularity properties of PDE
UDC: 512.54, 517.5, 517.518, 517.956.2, 517.954
MSC: 34G10, 45J05, 45K05, 35J70, 35B45, 35R20, 35J70, 46E40, 46E35, 46M35

Subject:

35Q41, 35K15, 47B25, 47Dxx, 46E40
   
Main publications:
  1. Shakhmurov V:B.,, “Regularity properties of Schrödinger equations in vector-valued spaces and applications, Forum Mathematics, ,”, THe regularity properties for abstract scrodinger equations, Forum Mathematicum, 31 (:1 (2018), 149-166

https://www.mathnet.ru/eng/person23437
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/199996

Publications in Math-Net.Ru Citations
2025
1. V. B. Shakhmurov, “Nonlocal abstract Stokes operators and applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 8,  69–83  mathnet
2. V. B. Shakhmurov, H. K. Musaev, “Nonlocal separable elliptic and parabolic equations and applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 1,  66–92  mathnet; Russian Math. (Iz. VUZ), 69:1 (2025), 60–84
3. V. B. Shakhmurov, “Kinetic maximal $L^{p}$-regularity for nonlocal Kolmogorov equation and application”, Trudy Inst. Mat. i Mekh. UrO RAN, 31:1 (2025),  210–227  mathnet  elib
2024
4. Veli B. Shakhmurov, “Free boundary value problems for abstract elliptic equations and applications”, Mosc. Math. J., 24:1 (2024),  63–89  mathnet
5. V. B. Shakhmurov, “Nonlocal abstract Ginzburg–Landau-type equations and applications”, TMF, 221:2 (2024),  315–330  mathnet  mathscinet; Theoret. and Math. Phys., 221:2 (2024), 1867–1881  scopus
2023
6. V. B. Shakhmurov, “Navier–Stokes problems with small parameters in half-space and application”, Sibirsk. Mat. Zh., 64:1 (2023),  213–234  mathnet  mathscinet; Siberian Math. J., 64:1 (2023), 181–201 1
2021
7. V. B. Shakhmurov, “Integral problem for Schrödinger-type equations with the general elliptic part”, TMF, 209:2 (2021),  243–257  mathnet  mathscinet  elib; Theoret. and Math. Phys., 209:2 (2021), 1523–1536  isi  scopus 2
2020
8. Veli B. Shakhmurov, “Nonlocal elliptic problems and applications”, Mosc. Math. J., 20:1 (2020),  185–210  mathnet  isi  scopus 1
2016
9. Veli B. Shakhmurov, “Separable differential operators and applications”, Mosc. Math. J., 16:2 (2016),  299–321  mathnet  mathscinet  isi 6
2010
10. V. B. Shakhmurov, “Maximal regular abstract elliptic equations and applications”, Sibirsk. Mat. Zh., 51:5 (2010),  1175–1191  mathnet  mathscinet  elib; Siberian Math. J., 51:5 (2010), 935–948  isi  scopus 9
2008
11. V. B. Shakhmurov, “Embeddings and Separable Differential Operators in Spaces of Sobolev–Lions type”, Mat. Zametki, 84:6 (2008),  907–926  mathnet  mathscinet; Math. Notes, 84:6 (2008), 842–858  isi  scopus 24
1990
12. V. B. Shakhmurov, A. A. Babaev, “Coercive problems for an equation with parameters”, Dokl. Akad. Nauk SSSR, 315:1 (1990),  37–40  mathnet  mathscinet  zmath; Dokl. Math., 42:3 (1991), 728–731
1989
13. P. I. Lizorkin, V. B. Shakhmurov, “Embedding theorems for vector-valued functions. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 2,  47–54  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:2 (1989), 53–61
14. P. I. Lizorkin, V. B. Shakhmurov, “Embedding theorems for vector-valued functions. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 1,  70–79  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:1 (1989), 81–90
1988
15. V. B. Shakhmurov, “Embedding theorems and their applications to degenerate equations”, Differ. Uravn., 24:4 (1988),  672–682  mathnet  mathscinet; Differ. Equ., 24:4 (1988), 475–482 2
16. V. B. Shakhmurov, “Coercive boundary value problems for degenerate anisotropic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 8,  69–78  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:8 (1988), 94–104
1987
17. V. B. Shakhmurov, “Imbedding theorems for abstract function spaces and their applications”, Mat. Sb. (N.S.), 134(176):2(10) (1987),  260–273  mathnet  mathscinet  zmath; Math. USSR-Sb., 62:1 (1989), 261–276 15
1986
18. V. B. Shakhmurov, “Theorems on imbedding compactness in weighted anisotropic spaces and their applications”, Dokl. Akad. Nauk SSSR, 291:6 (1986),  1305–1309  mathnet  mathscinet  zmath
19. V. B. Shakhmurov, “Coercive boundary value problems for strongly degenerate operator-differential equations”, Dokl. Akad. Nauk SSSR, 290:3 (1986),  553–556  mathnet  mathscinet  zmath 1
1985
20. V. B. Shakhmurov, “Embedding theorems in abstract anisotropic spaces and their applications”, Dokl. Akad. Nauk SSSR, 281:5 (1985),  1068–1072  mathnet  mathscinet  zmath 1
21. V. B. Shakhmurov, “Coercive boundary value problems for degenerate abstract equations”, Dokl. Akad. Nauk SSSR, 280:6 (1985),  1316–1320  mathnet  mathscinet  zmath
1983
22. F. G. Maksudov, V. B. Shakhmurov, “Estimates of the resolvent for a class of quasielliptic partial differential operator equations”, Dokl. Akad. Nauk SSSR, 268:4 (1983),  799–802  mathnet  mathscinet  zmath
23. F. G. Maksudov, V. B. Shakhmurov, “On the completeness of the system of eigenvectors and associated vectors of nonlocal boundary value problems for quasielliptic partial differential operator equations”, Dokl. Akad. Nauk SSSR, 268:1 (1983),  33–35  mathnet  mathscinet  zmath
1978
24. V. B. Shakhmurov, “Compactness of an imbedding in anisotropic spaces of vector-valued functions, and applications”, Dokl. Akad. Nauk SSSR, 241:6 (1978),  1285–1287  mathnet  mathscinet  zmath 2
1977
25. S. Ya. Yakubov, V. B. Shakhmurov, “Theorems on imbedding in anisotropic spaces of vector-valued functions”, Mat. Zametki, 22:2 (1977),  297–301  mathnet  mathscinet  zmath; Math. Notes, 22:2 (1977), 657–659 1

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