ENGLISH

Elements of nonlinear analysis

By Michel Chipot

Book information

Publisher
Birkhäuser Basel
Year
2000
ISBN
3764364068, 9783764364069
Open Library ID
OL9090594M
Language
english
Format
DJVU
Filesize
5 MB (5623779 bytes)
Series
Birkhäuser Advanced Texts Basler Lehrbücher
Edition
1
Pages
263\263
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

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 selfcontained. 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

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