1st Edition

Nonlinear Partial Differential Equations and Their Applications
College de France Seminar, Volume XII



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ISBN 9780582238015
Published August 4, 1994 by CRC Press
235 Pages

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Book Description

This book contains the texts of selected lectures delivered at weekly seminars at the College de France during the period 1991-93. The main theme of the papers is recent work in the field of partial differential equations - a field of growing importance both in pure and applied mathematics.

Table of Contents

To scale convergence - a new method in periodic homogenizations, G. Allaire; some remarks concerning the theory of exact controllability and stabilization for the wave equation, C. Bardos; equi-coercivity of variational problems - the role of recession functions, G. Bouchitte and P. Suquet; boundary value problems for forced superlinear secon order ordinary differential equations, A. Capietto, J. Mawhin and F. Zanolin; existence des nappes de tourbillon designe fixe en dimension deux, J.M. Delort; microlocal analysis of compactness, P. Gerard; majorations en norme du maximum del la resolvante du laplacien dans une polygone, P. Grisvard; homogeneisation non locale d'equations hyperboliques, K. Hamdache; quelques proprietes des series lacunaires utiles dans l'etude des vibrations elastiques, A. Haraux; variational problems in homogenization theory, S.M. Kozlov; perfect flow past a nonlinearly ealstic panel, M. Lanza de Cristoforis and S. Antman; turbulence et structures - coherentes dans les fluides, M. Lesieur; paraxial approximation of the stationary Vlasov-Maxwell equations, P.A. Raviart; singularities and junctions in elasticity, E. Sanchez-Panencia; oscillations non-lineaires de haute frequence, dim=1, D. Serre; functionals with surface terms on a free singular set, S. Solimini; estimates for the heat kernel of second order elliptic equations, D. Stroock.

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Brezis,