Chipot Elliptic Equations An Introductory Course.pdf

文档介绍：Birkhäuser
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Edited by
Herbert Amann, Zürich University
Steven G. Krantz, Washington University, St. Louis
Shrawan Kumar, University of North Carolina at Chapel Hill
Jan Nekovár,Ý Université Pierre et Marie Curie, Paris
Michel Chipot
Elliptic Equations:
An Introductory Course
Birkhäuser
Basel · Boston · Berlin
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Michel Chipot
Institute of Mathematics
University of Zürich
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Bibliographic information published by Die Deutsche Bibliothek
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This work is subject to copyright. All rights are reserved, whether the whole or part of
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Basel · Boston · Berlin
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Part of Springer Science+Business Media
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Printed in Germany
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Contents
Preface ...................................... ix
Part I Basic Techniques
1 Hilbert Space Techniques
The projection on a closed convex set . . . . . . . . . . . . . . . . 3
TheRieszrepresentationtheorem.................. 6
TheLax–Milgramtheorem...................... 8
Convergencetechniques....................... 10
Exercises............................