Methods of nonlinear analysis applications to differential equations Pavel Drábek, Jaroslav Milota

Format:

Book

Author/Creator:

Drábek, Pavel, 1953-

Contributor:

Milota, Jaroslav

Series:

Birkhäuser advanced texts

Language:

English

Subjects (All):

Nonlinear functional analysis.

Differential equations.

Physical Description:

1 online resource

Edition:

2nd ed.

Place of Publication:

Basel New York Birkhäuser ©2013

System Details:

text file PDF

Summary:

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

Contents:

Preliminaries Properties of Linear and Nonlinear Operators Abstract Integral and Differential Calculus Local Properties of Differentiable Mappings Topological Methods Monotonicity Methods Variational Methods Some Applications to Partial Differential Equations

Notes:

Includes bibliographical references and index

Other Format:

Print version Drábek, Pavel. Methods of Nonlinear Analysis : Applications to Differential Equations

ISBN:

9783034803878

3034803877

3034803869

9783034803861

OCLC:

826122833

Publisher Number:

(WaSeSS)ssj0000870745

Access Restriction:

Restricted for use by site license