C U R R
I C U L U M V I T A E
Sergo
Kharibegahvili
AFFILIATION
A.
Razmadze Mathematical Institute
Georgian
Academy of Sciences
1,
M. Aleksidze Str., Tbilisi 380093
Georgia
Email:
khar@rmi.acnet.ge
PERSONAL
DATA
Date of Birth:
20.01.1953
Place of Birth:
Telavi,
Georgia
Nationality: Georgian
Marital Status:
Married, two children
EDUCATION AND SCIENTIFIC DEGREES
19691974 Student
of the M.
V. Lomonosov Moscow State University,
Faculty
of Mechanics and Mathematics
June,
1974 Diploma (M.D.) in Mathematics
19741976 Probationer–researcher of the V. A. Steklov
Mathematical Institute
of the Russian
Academy of Sciences (Moscow)
19761979 Postgraduate student of the same department
May,
1980
Candidate
of Physical & Mathematical Sciences
(Ph.
D. in Mathematics),
the same
department
December,
1987 Doctor of Physical & Mathematical Sciences (Doct. Hab.),
A.
Razmadze Mathematical Institute, Georgian Academy of Sciences
LANGUAGES
Georgian, Russian, English
POSITIONS HELD
AND ACADEMIC EXPERIENCE
19801985
Junior Researcher at the Department of Partial Differential Equations
of I. Vekua
Institute of Applied Mathematics of Tbilisi State University
19851988 Senior Researcher at the same department
19881992
Leading Researcher at the same department
19921993 Professor of the Department of Mathematics (99) at
the Georgian
Technical
University, Tbilisi
19931998 Head of the Department of Theoretical Mechanics (4)
at the Georgian
Technical
University, Tbilisi
1998 
present Leading Researcher at the A. Razmadze Mathematical
Institute of Georgian
Academy of
Sciences, Tbilisi
ALSO
19901992 PartTime Professor (half of the full staff) of the
Department
of Mathematics
(99) at the Georgian Technical University, Tbilisi
1993  present
Chief Researcher (half of the full staff) at the Department of
Partial
Differential
Equations of I. Vekua Institute of Applied Mathematics
of Tbilisi State
University
1999  present
PartTime Professor (half of the full staff) of the Department of
Differential
and Integral
Equations of Tbilisi State University
RESEARCH
AREAS
Partial
Differential Equations.
Boundary
Value
and Mixed
problems for Linear Hyperbolic
Partial
Differential Equations and Systems
ADDITIONAL
INFORMATION
19931994 Scientific Secretary of Presidium of Georgian
Mathematical Union
19941997 VisePresident of Georgian Mathematical Union
February,
1997 N. Muskhelishvili Prize Laureate of the Georgian Academy of
Sciences
MAIN PUBLICATIONS

The characteristic problem for hyperbolic
second order systems with constant coefficients.
(Russian) Differentsial'nye
Uravneniya 14(1978), No. 1, 123135; English transl.: Differ.
Equations 14(1978), No. 1, 8796.

The characteristic problem for second order
strictly hyperbolic systems with two independent variables.
(Russian) Differentsial'nye
Uravneniya 15(1979), No. 1, 142152; English transl.: Differ.
Equations 15(1979), No. 1, 99106.

A problem of Goursat type for a certain class
of hyperbolic systems.
(Russian) Differentsial'nye Uravneniya 17(1981), No. 1, 157164;
English. transl.: Differ. Equations 17(1981), No. 1, 110115.

4. Goursat problem for a class of systems of
second order hyperbolic equations.
(Russian) Differentsial'nye
Uravneniya 18(1982), No. 1, 152166; English transl.: Differ.
Equations 18(1982), No. 1, 131142.

Solvability of a Goursat problem for second
order normally hyperbolic systems with variable coefficients.
(Russian) Differentsial'nye
Uravneniya 19(1983), No. 1, 137145; English transl.: Differ.
Equations 19(1983), No. 1, 114123.

On some boundary value problem for normally
hyperbolic systems of second order.
(Russian) Soobshch. Akad. Nauk
Gruz. SSR 116(1984), No. 2, 269272.

About the solvability of some boundary value
problem for linear normally hyperbolic second order systems with variable
coefficients. (Russian)
Soobshch. Akad. Nauk Gruz. SSR 116(1984), No. 3, 477480.

On some higher dimensional problem of Goursat
type for strictly hyperbolic systems of second order.
(Russian) Soobshch. Akad. Nauk
Gruz. SSR 117(1985), No. 1, 3740.

Characteristic problem for a class of second
order hyperbolic systems with parabolic degeneration.
(Russian) Soobshch. Akad. Nauk
Gruz. SSR 117(1985), No. 2, 261263.

On the solvability of a class of degenerate
functional equations.
(Russian) Soobshch. Akad. Nauk Gruz. SSR 117(1985), No. 3,
497499.

On a boundary value problem for a second order
hyperbolic equation. (Russian) Dokl. Akad. Nauk SSSR 280(1985),
No. 6, 13131316; English. transl.: Sov. Math., Dokl. 31(1985),
250252.

A boundary value problem for second order
normally hyperbolic systems with variable coefficients.
(Russian) Differentsial'nye
Uravneniya 21(1985), No. 1, 149155; English transl.: Differ.
Equations 21(1985), No. 1, 121126.

A characteristic problem for a class of second
order hyperbolic systems with a parabolic degeneration.
(Russian) Differentsial'nye
Uravneniya 22(1986), No. 1, 153164; English transl.: Differ.
Equations 22(1986), No. 1, 122131.

Solvability of a boundary value problem for
second order hyperbolic equations.
(Russian) Trudy Inst. Prikl. Mat.
Im. I. N. Vekua 19(1987), 122173.

Solvability of a characteristic problem for
degenerate second order hyperbolic systems.
(Russian) Differentsial'nye
Uravneniya 25(1989), No. 1, 154162; English transl.: Differ.
Equations 25(1989), No.1, 123131.

The characteristic problem for a class of
second order hyperbolic systems with degeneration of the type and order.
(Russian) Soobshch. Akad.
Nauk Gruz. SSR 135(1989), No. 2, 269271.

Characteristic problem for a class of second
order hyperbolic systems with typechanges on characteristics.
(Russian) Differentsial'nye
Uravneniya 26(1990), No. 2, 305313; English transl.: Differ.
Equations 26(1990), No. 2, 235242.

On a characteristic problem for second order
hyperbolic systems with degeneration of type and order.
(Russian) Soobshch. Akad. Nauk
Gruz. SSR 140(1990), No. 1, 2931.

On a spatial problem for high order strictly
hyperbolic systems in several independent variables.
(Russian) Bull. Georgian Acad.
Sci. 146(1992), No. 1, 478481.

On the correct formulation of one
multidimensional problem for strictly hyperbolic equations of higher order.
Proc. Georgian Acad. Sci.,
Math. 1(1993), No.
2, 159169.

On the correct formulation of a
multidimensional problem for strictly hyperbolic equations of higher order.
Georgian Math. J.
1(1994), No. 2, 141150.

On a spatial problem of Darboux type for a
second order hyperbolic equation.
Georgian Math. J.
2(1995), No. 3, 299311.

On the solvability of a spatial problem of
Darboux type for the wave equation.
Georgian Math. J.
2(1995), No. 4, 385394.

Goursat and Darboux type problems for linear
hyperbolic partial differential equations and systems.
Mem. Differential Equations Math.
Phys. 4(1995),
1127.

On the solvability of a Darboux type
noncharacteristic spatial problem for the wave equation.
Georgian Math. J.
3(1996), No. 1, 5968.

On a Darboux type multidimensional problem for
second order hyperbolic systems.
Georgian Math. J.
3(1996), No. 4, 363378.

On the solvability of the multidimensional
version of the first Darboux problem for a model secondorder degenerating
hyperbolic equation.
Georgian Math. J. 4(1997),
No. 4, 341354.

On the solvability of a multidimensional
version of the Goursat problem for a second order hyperbolic equation with
characteristic degeneration.
Mem. Differential Equations Math.
Phys. 11(1997),
89103.

To the theory of boundary value problems for
hyperbolic type equations and systems (with J. Gvazava).
Mem. Differential Equations Math.
Phys. 12(1997),
6875.

On some multidimensional versions of a
characteristic problem for second order degenerating hyperbolic equations.
Georgian Math. J.
5(1998), No. 2, 139156.

On some boundary value problems for an
ultrahyperbolic equation.
Georgian Math. J. 5(1998),
No. 4, 341360.

Boundary value problems for a class of systems
of second order partial differential equations.
(Russian) Differentsial'nye
Uravneniya 34(1998), No. 1, 114122; English transl.: Differ.
Equations 34(1998), No. 1, 117125.

On the solvability of some multidimensional
versions of the Goursat problem for a first order hyperbolic system.
(Russian) Differentsial'nye
Uravneniya 35(1999), No. 8, 11121121.

On the formulation of characteristic problems
for first order symmetric hyperbolic systems.
(Russian) Differentsial'nye
Uravneniya 36(2000), No. 8, 11131122.

Direct and inverse fluidstructure interaction
problems (with D. Natroshvili and Z. Tediashvili).
Rend. Mat. Appl.
(7) 20(2000), 5792.

On a vibration of elastic cusped burs (with G.
Jaiani). Bull. TICMI
4(2000), 2428.

A multidimensional version of the first
Darboux problem for a second order degenerating hyperbolic equation.
Appl. Math. Inform.
5 (2000), No. 1, 6676.

Some mathematical problems related to the
first approximation of I. Vekua's theory for cusped prismatic shells (with G.
Devdariani, G. Jaiani, D. Natroshvili).
Appl. Math. Inform.
5(2000), No. 2, 2646.

Dynamical problems in the (0,0) and (1,0)
approximations of a mathematical model of cusped bars (with G. Jaiani).
Functionalanalytic and Complex Methods, Interactions, and Applications to
Partial Differential Equations. Proceedings of the International
Graz Workshop
(Graz, Astrie,
1216, February), 188247, World Scientific, 2001.

On the solvability of some boundary value
problems for symmetric first order hyperbolic systems in a dihedral angle.
Mem. Differential
Equations Math. Phys.
27(2002), 115144.

On the correct formulation of some nonlocal
problems for the wave equations.
(Russian) Differentsial'nye
Uravneniya 39(2003), No. 4, 539553.

On the correct formulation of some boundary
value problems for symmetric hyperbolic systems of first order in a dihedral
angle. Mem. Differential
Equations Math. Phys.
29(2003), 130.

Hierarchical models for elastic cusped plates
and beams (with G. Jaiani, D. Natroshvili, and W. L. Wendland).
Lect. Notes TICMI
4 (2003), 1121.

A multidimensional version of the Darboux
problem for a model egenerating second order d hyperbolic equation.
(Russian) Differentsial'nye
Uravneniya 40 (2004), No. 4, 565573; English transl.:
Differential Equations 40 (2004), No. 4, 610619.

On some boundary value problems for a class of
hyperbolic systems of second order in a conic domains.
Mem. Differential Equations Math.
Phys. (to appear).