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O Mini-Curso será lecionado nos dias 11, 12 e 13 de junho e as sessões terão início às 14h na sala Sousa Pinto.
Title: Calculus of Günter's derivatives on hypersurfaces and their application to problems of Mathematical-Physics
Abstract: It is planned to deliver a course of lectures on the calculus of Günter's derivatives on hypersurfaces and their application to problems of Mathematical-Physics. In particular will be considered Boundary Value Problems (BVPs) for partial differential equations on surfaces (Laplace-Beltrami and Lamé equation), their unique solvability (by using Lax-Milgram lemma), fundamental solutions, representation of solutions, equivalent boundary pseudodifferential equations, etc.. Will be explained r-convergence and its application for deriving BVPs on surface from BVPs in thin domains around hypersurface. As an example will be considered how to derive heat conduction and shell equation from, respectively, Laplace and Lamé equation in thin (tubular) domains with the r-convergence.
Professor, Head of the Math. Department,
Director of the Institute of Mathematics,
The University of Georgia,
Head of a Department at
A. Razmadze Mathematical Institute
Ivane Javakhishvili Tbilisi State University,
Chairman of the Georgian National Committee for Mathematics, Georgia