
![]() |
|
| Personal data | |
| Education and degrees | |
| Experience in scientific institutes | |
| Teaching experience | |
| Research interests | |
| Participation
in scientific projects, grants and awards |
|
| Selected publications |
| Personal data: |
Last
name: Pyatkov
First name: Sergei
Middle name: Grigor’evich
Data of birth: January 5, 1956 (Altai region,
Languages: Russian (native), English
| Education and degrees: |
1973-1978
- Department of Mathematics,
Novosibirsk
State
University
(Novosibirsk).
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".
| Experience in scientific institutes: |
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).
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).
Partial differential equations: spectral problems, boundary value
problems; mathematical
analysis
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.
Nonclassical
Operator-Differential Equations. Nauka, Novosibirsk,
2000. (jointly with I.E.Egorov, S.V.Popov; Russian)
2.
Operator Theory. Nonclassical Problems. Utrecht,
Boston, Koln,
Tokyo, VSP, 2002.
Articles:
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. 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.
6. On the
theory of nonclassical equations of mathematical physics. 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. 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.
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.
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.
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. Inverse problems for the Black-Scholes equation and related problems. J. Inverse Ill-Posed Probl., 15 (2007), no. 9, pp. 955-974.
24. Certain inverse problems for parabolic equations. J. Math. Sci., 150 (2008), no. 5, pp. 2422-2433.