Elements of Nonlinear Analysis
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Word Count
65,750 words, Guess
Page Count
263 pages
Identifiers
- ISBN-139783034884297
- ISBN-10303488429X
- Better World Books9783034884297
- Open LibraryOL50693053M
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 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.
Other Editions
- Elements of Nonlinear Analysis
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