Overview

During . recent years, the Mathematical Institute of the Czechoslovak Academy of Sciences has organized summer schools de- voted to non~linear functional analysis and its applications- particularly in the theory of boundary value problems for dif- ferential equations. The main subj ects of the summer school held from 24 to 29 Sep- tember 1973 at Podhradi near Ledec on Sazava were theory of non- linear evolution equations and potential theory. The summer school was attended by more than 60 mathematicians from Czechoslovakia and abroad. The lectures were delivered by Gottfried Anger, Halle (GDR), Viorel Barbu, Ia~i (Romania), Haim Brezis, Paris (France), Siegfried nUmmel, Karl-Marx-Stadt (GDR), Jozef Kacur, Bratislava (Czechoslovakia), Josef Kral, Praha (Czechoslovakia), S. N. Kruzkov, Moskva (USSR), Vladimir Lovicar, Praha (Czechoslovakia), Jaroslav Lukes, Praha (Czechoslovakia), Jifi Vesely, Praha (Czechoslovakia), Ivo Vrkoc, Praha (Czechoslovakia). In the present proceedings the text of almost all lectures delivered during the school are collected. Josef Krel Editor September, 1974 DIRECT AND INVERSE PROBLEMS IN POTENTIAL THEORY Gottfried Anger Halle (GDR) The aim of this paper is to sketch the most important direct problems (boundary value problems and initial value problems) of linear elliptic, paraboli""c and hyperbolic differential equations and some inverse problems corresponding to these equations. Both types of problems are divided into two classes. The first one is the class of properly posed problems, the other is the class of improperly posed problems.

Full Product Details

Author:   J. Kral
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1975
Dimensions:   Width: 17.00cm , Height: 0.80cm , Length: 24.40cm
Weight:   0.269kg
ISBN:  

9781461344278

ISBN 10:   1461344271
Pages:   146
Publication Date:   05 November 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

Preface.- Gottfried Anger: Direct and inverse problems in potential theory.- Viorel Barbu: Regularity results for sane differential equations associated with maximal monotone operators in Hilbert spaces.- Haim Brezis: Classes d’interpolation associées à un opérateur monotone et applications.- Siegfried Dnümmel: On inverse problems for k-dimensional potentials.- Jozef Ka?ur: Application of Rothe’s method to nonlinear parabolic boundary value problems.- Josef Král: Potentials and removability of singularities.- Vladimir Lovicar: Theorem of Fréchet and asymptotically almost periodid solutions of sane nonlinear equations of hyperbolic type.- Jaroslav Lukeš: A new type of generalized solution of the Dirichlet problem for the heat equation.- Ji?í Veselý: Some remarks on Dirichlet problem.- Ivo Vrko?: Diffusion processes and their connection to partial differential equations of parabolic type.

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