Volume 1, 1997
ANNOUNCEMENT FOR 1997
Advanced Course on Pseudodifferential Operators and
Their Applications 1
Date: 25 June-5 July 1997Location: TICMI (Tbilisi)
Roland Duduchava (University of Tbilisi, Georgia)
Pseododifferential Equations on Manifolds with Smooth Boundary: Solvability, Asymptotics of Solutions, Applications
Summary: Pseudodifferential operators (PsDOs) on manifolds (definition, properties). Boundedness of PsDOs in anisotropic Sobolev spaces with weight. Factorisation of matrix elliptic symbols and Fredholm properties of PsDOs. Asymptotics of solutions to elliptic systems of pseudodifferential equations. Application to some problems in elasticity.
B.-Wolfgang Schulze (University of Potsdam, Germany)
The Pseudo-Differential Calculus for Singular and Degenerate Operators
Summary: The lectures present the basic methods of PsDOs for solving elliptic and parabolic problems on configurations with singularities (conical, edge, corners, cuspidal etc.). Essential tools are the Mellin transform, meromorphic operator-valued symbols and weighted wedge Sobolev spaces with asymptotics. The calculus is aimed at constructing parametrices or inverses with the calculus and to illustrate the connection to concrete models in applied sciences.
Coordinator: George Jaiani
Advanced Course on Theory of Elasticity 2
Date: 16-25 September 1997
Location: TICMI (Tbilisi)
Veronique Lods, Gerard Tronel (Universite P. et M.Curie, France)
Three- and Two-Dimensional Elasticity
Summary: During the past decades, substantial progress has been made in the mathematical analysis of three-dimensional elasticity and in the understanding of the two-dimensional linear and nonlinear theories of plates and shells by means of the technique of asymptotic analysis. The lectures will thoroughly review these recent developments.
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