Methods of Nonlinear Analysis: Applications to Differential Equations

✍ Scribed by Pavel Drabek, Jaroslav Milota

Publisher: Birkhäuser
Year: 2013
Tongue: English
Leaves: 651
Series: Birkhäuser Advanced Texts Basler Lehrbücher
Edition: 2nd ed. 2013
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.

In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question.

The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

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