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Elements of nonlinear analysis /

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This textbook explores the vast field of nonlinear analysis by emphasizing the underlying ideas rather than the sophisticated refinements of the theory. Two classical examples from physics, namely elasticity and diffusion, serve to motivate the theoretical parts that are then applied to various aspe...

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Bibliographic Details
Main Author: Chipot, M. (Michel)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser Verlag, 2000.
Series:Birkhäuser advanced texts.
Subjects:
Nonlinear functional analysis.
analyse asymptotique.
unicité.
minimisation.
Problème parabolique.
problème elliptique.
Diffusion.
élasticité.
analyse non linéaire.
Niet-lineaire analyse.
Analyse fonctionnelle non linéaire.
Nichtlineare Analysis.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:This textbook explores the vast field of nonlinear analysis by emphasizing the underlying ideas rather than the sophisticated refinements of the theory. Two classical examples from physics, namely elasticity and diffusion, serve to motivate the theoretical parts that are then applied to various aspects of elliptic and parabolic problems. In particular, existence, uniqueness, regularity and approximation of solutions for quasilinear and monotone problems are studied, as well as some new aspects of the calculus of variations including Young measures or approximation of minimizing sequences. The book is reasonably self-contained. Wherever possible, original proofs are given that are not to be found elsewhere. The text is geared towards graduate students and nonspecialists in nonlinear analysis who wish to become acquainted with the basic ideas of the subject. The study of this book will enable the reader to access the many ramifications of the field.
Item Description:Electronic resource.
Physical Description:1 online resource (vi, 256 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (251-254) and index.
ISBN:9783034884280 (electronic bk.)
3034884281 (electronic bk.)