1977 - Diploma (M. Sc.), Novosibirsk State University (Novosibirsk).

1978-1980 - Probationer-researcher, Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).

1982 - Candidate of Physical and Mathematical Sciences (Ph. D.), Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk), Ph. D. Thesis "Well-posed boundary value problems for composite type equations and their generalizations".

1995 - Doctor of Physical and Mathematical Sciences (D. Sc.), Novosibirsk State University (Novosibirsk), D. Sc. Thesis "Indefinite spectral problems and their applications to the theory of boundary value problems of mathematical physics".

Back to top  

1980-1986 - Junior Scientific Researcher, Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).

1986-1993 - Scientific Researcher, Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).

1993-1995 - Senior Scientific Researcher, Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).

1995-present - Leading Scientific Researcher, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).

Back to top

1983-1991 - Assistant Lecturer, Novosibirsk State University (Novosibirsk).

1991-1996 - Associate Professor, Novosibirsk State University (Novosibirsk).

1996-2002 - Full Professor, Novosibirsk State University (Novosibirsk).

2002-present - Full Professor, Ugra State University (Hanty-Mansiisk, Russia).

Back to top

Partial differential equations: spectral problems, boundary value problems;  mathematical analysis

Back to top

Projects supported by the Russian Foundation for Basic Research (RFBR): no. 97-01-00894, no. 99-01-00621, no. 01-01-00796, no. 03-01-00819.

1. On the solvability of a boundary value problem for a parabolic equation with changing time direction. Dokl. Akad. Nauk SSSR, 285 (1985), no. 6, pp. 1327-1329; English transl. in Sov. Math. Dokl., 32 (1985), pp. 895-897.

2. Solvability of a boundary value problem for a nonlinear parabolic equation with changing direction of time. Sib. Mat. Zh., 28 (1987), no. 3, pp. 184-192; English transl. in Sib. Math J., 28 (1987), no. 3, pp. 498-505. (jointly with A.G.Podgaev)

3. Some properties of eigenfunctions of linear pencils. Sib. Mat. Zh., 30 (1989), no. 4, pp. 111-124; English transl. in Sib. Math J., 30 (1989), no. 4, pp. 585-597.

4. Some properties of eigenfunctions of linear pencils and applications to mixed type operator-differential equations. In: Partial Differential Equations, Banach Center Publications, Polish Academy of Sciences, Warsaw, 27 (1992), part II, pp. 373-382.

5. On some problems of eigenfuctions of linear pencils. Mat. Zametki, 51 (1992), no. 1, pp. 141-148. (Russian)

6. On the theory of nonclassical equations of mathematical physics. In: Conditionally Well-Posed Problems. Moscow, Utrecht, TVP/TSP, 1993, pp. 299-321. (jointly with V.N.Vragov, A.I.Kozhanov, S.N.Glazatov)

7. Elliptic eigenvalue problems with an indefinite weight function. Sib. Adv. Math., 4 (1994), no. 2, pp. 87-127.

8. Riesz completeness of the eigenelements and associated elements of the linear selfadjoint pencils. Mat. Sb., 185 (1994), no.3, pp. 93-116; English transl. in Russian Acad. Sci. Sb. Math., 81 (1995), no. 2, pp. 343-361.

9. Riesz's bases from the eigenvectors and associated vectors of elliptic eigenvalue problems with an indefinite weight functions. In: Differential Equation Theory. Nova Science Publishers, New York, 1996, pp. 357-374.

10. Counterexamples in indefinite Sturm-Liouville problems. Sib. Adv. Math., 7 (1997), no. 4, pp. 1-8. (jointly with N.L.Abasheeva)

11. Interpolation of some function spaces and indefinite Sturm-Liouville problems. In: Differential and Integral Operators. Vol. I. Proceedings of the International Workshop on Operator Theory and Applications, IWOTA 95, Regensburg, Germany, July 31-August 4, 1995. Basel: Birkauser. Oper. Theory, Adv. Appl., 102 (1998), pp. 179-200.

12. Indefinite elliptic spectral problems. Sib. Mat. Zh., 39 (1998), no. 2, pp. 409-426; English transl. in Sib. Math J., 39 (1998), no. 2, pp. 358-372.

13. On some properties of imaginary powers of positive operators. Mat. Zametki YaGU, 7 (2000), no. 2, pp. 159-168. (Russian)

14. Solvability of boundary value problems for operator-differential equations of mixed type. Sib. Mat. Zh., 41 (2000), no. 6, pp. 1419-1435; English transl. in Sib. Math J., 41 (2000), no. 4, pp. 1174-1187. (jointly with N.L.Abasheeeva)

15. Interpolation of weighted Sobolev spaces. Mat. Trudy, 4 (2001), no. 1, pp. 122-173; English transl. in Sib. Adv. Math., 10 (2000), no. 3, pp. 83-132.

16. Elliptic spectral problems with an indefinite weight functions. Mat. Trudy, 4 (2001), no. 2, pp. 138-154; English transl. in Sib. Adv. Math., 10 (2000), no. 4, pp. 134-150.

17. Solvability of an inverse problem for a class of singular parabolic equations. Inverse Problems and Information Technologies, 1 (2002), no. 2, pp. 115-123.

18. Solvability of boundary value problems for operator-differential equations: the degenerate case. Sib. Mat. Zh., 43 (2002), no. 3, pp. 549-561; English transl. in Sib. Math J., 43 (2002), no. 3, pp. 678-693. (jointly with N.L.Abasheeva)

19. Boundary value problems for some classes of singular parabolic equations. Mat. Trudy, 6 (2003), no. 2, pp. 144-208. (Russian)

20. Solvability of some inverse problems for parabolic equations. J. Inverse Ill-Posed Probl., 12 (2004), no. 4, pp.  397-412.  

21. The best constant of Sobolev inequality in an $n$ dimensional Euclidean space. Sci. Math. Jpn., 61 (2005), no. 1, pp. 15-23. (jointly with Y.Kametaka, K.Watanabe, A.Nagai)

22. Solvability of one boundary-value problem for pseudoparabolic equations of the fourth order. Vestnik NGU. Ser.: matematika, mekhanika, informatika, 5 (2005), iss. 3, pp. 43-56. (Russian)

23. Some properties of eigenfunctions and adjoint functions for indefinite Sturm-Liouville problems. In: Nonclassical Equations of Mathematical Pphysics, Russian Akad. Nauk Sibirsk. Otdel., Inst. Mat., Novosibirsk, 2005, pp. 240-251. (Russian)

24. Certain inverse problems for parabolic equations. Fundam. Prikl. Mat. 12 (2006), no. 4, pp. 187-202; English transl. in J. Math. Sci., 150 (2008), no. 5, pp. 2422-2433.

25. Inverse problems for the Black-Scholes equation and related problems. J. Inverse Ill-Posed Probl., 15 (2007), no. 9, pp. 955-974.

26. On evolutionary inverse problems for parabolic equations. Dokl. Akad. Nauk, 418 (2008), no. 5, pp. 596-598; English transl. in Dokl. Math., 77 (2008), no.1, pp. 111-113. (jointly with B.N.Tsybikov)

27. Interpolation of some classes of weighted Sobolev spaces and applications. Mat. Zametki YaGU, 16 (2009), no. 1, pp. 56-74. (Russian)

28. Some classes of inverse evolution problems for parabolic equations. Sib. Mat. Zh., 50 (2009), no. 1, pp. 175-189; English transl. in Sib. Math J., 50 (2009), no. 1, pp. 141-153. (jointly with B.N.Tsybikov)

29. On the nature of ill-posedness of the forward-backward heat equation. Integral Equations Oper. Theory, 65 (2009), no. 3, pp. 319-344. (jointly with M.Chugunova, I.M.Karabash)

30. Interpolation of Sobolev spaces and indefinite elliptic spectral problems. Oper. Theory, Adv. Appl., 198 (2010), pp. 265-290.

31. On some inverse problems for elliptic equations and systems. Sib. Zh. Ind. Mat., 13 (2010), no. 4, pp. 83-96; English transl. in J. Appl. Ind. Math., 5 (2011), no. 3, pp. 417-430.

32. On solvability of one nonlocal boundary value problem for the Navier-Stokes system of equations. Mat. Zametki YaGU, 17 (2010), no. 1, pp. 124-137. (jointly with M.V.Uvarova; Russian)

33. On some classes of inverse problems for parabolic equations. J. Inverse Ill-Posed Probl., 18 (2011), no. 8, pp. 917-934.

34. On some classes of inverse problems for parabolic and elliptic equations. J. Evol. Equ., 11 (2011), no. 1, pp. 155-186. (jointly with B.N.Tsybikov)

35. On the existence of maximal semidefinite invariant subspaces for J-dissipative operators. Mat. Sb., 203 (2012), no. 2, pp. 87-110; English transl. in Sbornik: Mathematics, 203 (2012), no. 2, pp. 234-256.

36. Maximal semidefinite invariant subspaces for J-dissipative operators. Oper. Theory, Adv. Appl., 221 (2012), pp. 549-570.

37. On some classes of inverse coefficient problems for parabolic systems of equations. Mat. Trudy, 15 (2012), no. 1, pp. 155-177. (jointly with M.L. Samkov; Russian)

38. Some properties of solutions of the Cauchy problem for evolution equations. Differ. Uravn., 48 (2012), no. 3, pp. 375–385; English transl. in Differ. Equations, 48 (2012), no. 3, pp. 341-350. (jointly with M.V.Uvarova)

Back to top