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David Kapanadze
CURRICULUM VITAE
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Biographical data: 24.07.1974, Born
in Tbilisi, Georgia.
Languages: Georgian (native), Russian
(fluent), English (fluent), German (fluent).
| MAILING ADDRESS:
D. Kapanadze
A. Razmadze
Mathematical Institute
Academy of Sciences of Georgia
1, M.Alexidze St.
TBILISI 93
GEORGIA
Tel.:+995.32.335977
| Email: |
 |
|
PERSONAL ADDRESS:
D. Kapanadze
I. Chavchavadze av. 75, H.3
TBILISI 62
GEORGIA
Tel.: +995.32.230726 |
Education and academic degrees:
| 1991 |
Graduated from the school in Tbilisi, Georgia. |
| 1995 |
B.Sc. from the Tbilisi State University,
major subject mathematics. |
| 1996-1999 |
Post graduate study in the Tbilisi State
University. |
| 08.01.2003 |
PhD degree from A. Razmadze Tbilisi Mathematical
Institute Academy of Sciences of Georgia, Scientific supervisors: Prof.
R. Duduchava and Prof. B.-W. Schulze |
Research and other positions:
| 1999-pres. |
Junior researcher at A. Razmadze Tbilisi
Mathematical Institute Academy of Sciences of Georgia. |
Research interests:
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Pseudo-differential boundary value problems
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Boundary value problems for high order partial
differential equations-the potential method
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Operator algebras on manifolds with singularities
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Application to particular problems of Mathematical
Physics
Talks at international conferences and workshops:
| Spring School |
"Partial Differential Equations", Potsdam,
Germany, February 19-23, 2001. |
| ISPM Workshop |
"Mathematical Theory of Cracks and their
Propagation", Tbilisi, Georgia, October 8-14, 2000. |
| Conference 2000 |
"Partial Differential Equations", Clausthal,
Germany, July 24-28, 2000. |
Visists of other institutions:
| 01.04.1999
- 31.09.1999 |
Junior researcher at the University of Potsdam,
Institute for Mathematics, Research group "PDE and Complex Analysis" . |
| 01.02.2000 - 31.07.2000 |
Junior researcher at the University of Potsdam,
Institute for Mathematics, Research group "PDE and Complex Analysis" . |
| 01.02.2001 - 31.07.2001 |
Junior researcher at the University of Potsdam,
Institute for Mathematics, Research group "PDE and Complex Analysis" . |
| 22.04.2002 - 22.08.2002 |
Junior researcher at the University
of Potsdam, Institute for Mathematics, Research group "Mathematische Physik:
Semiklassik und Asymptotik". |
| 22.01.2003 - 22.04.2003 |
Junior researcher at the University of Potsdam,
Institute for Mathematics, Research group "PDE and Complex Analysis" . |
| 02.03.2003 - 27.07.2004 |
Junior researcher at the University of Potsdam,
Institute for Mathematics, Research group "PDE and Complex Analysis" . |
LIST OF ALL PUBLICATIONS
(i) Monograph
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D.Kapanadze and B.-W. Schulze: "Crack theory
and edge singularities", Kluwer Academic Publ., Dordrecht, 2003
.
(ii) Papers
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R.Duduchava and D.Kapanadze: "On the
Prandtl equation", Georgian Mathematical
Journal vol. 6, 1999.
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D.Kapanadze: "On the Prandtl Equation
on a Finite Interval", Bulletin of
TICMI, vol. 3, 1999.
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D.Kapanadze, B.-W. Schulze and I. Witt: "Coordinate
invariance of the cone algebra with asymptotics",
Operator Theory: Advances and Aplications, Vol. 138, Birkhäuser Verlag,
Basel/switzerland, 2002, pp. 307-358.
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D.Kapanadze and B.-W. Schulze: "Boundary
value problems on manifolds with exits to infinity" ,
Rendiconti del Seminario Matematico dell'Università e del Politecnico
di Torino Vol. 58, 3 (2000), 301-359.
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D.Kapanadze and B.-W. Schulze: "Pseudo-differential
crack theory", Memoirs on Differential
Equations and Mathematical Physics, 22 (2001), 3-76.
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D.Kapanadze and B.-W. Schulze: "Parameter-dependent
boundary value problems on manifolds with exits to infinity"
, Proc. Conf. in Mem. V. K. Patodi, Banaras Hindu
University, Varanasi, India, Sept. 2000. "Geometry, Analysis and Applications",
World Scientific, Singapore, 2001, pp. 93 - 117.
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D.Kapanadze: "Pseudo-differential equations
in anisotropic weighted Bessel potential spaces with asymptotics"
, Memoirs on Differential Equations and Mathematical
Physics, 25 (2002), 121-149.
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D.Kapanadze and B.-W. Schulze: "Symbolic
calculus for boundary value problems on manifolds with edges",
Integral Equations Operator Theory, 45
(2003), 64-104.
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D.Kapanadze and B.-W. Schulze: "Asymptotics
of potentials in the edge calculus", Preprint 2003/05, Institute
for Mathematics, Potsdam.
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D.Kapanadze and B.-W. Schulze: “Boundary-contact
problems for domains with conical singularities”, Preprint
2004/11, Institute für Mathematik, Uni-Potsdam, 2004. Journal of Differential
Equations. (accepted).
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D.Kapanadze: “Elastic potentials at
corners in Sobolev spaces with asymptotics”, Mathematical Methods
in the Applied Sciences. (accepted).