Hansjörg Kielhöfer

(Author)

Bifurcation Theory: An Introduction with Applications to Partial Differential Equations (2012)Hardcover - 2012, 12 November 2011

Bifurcation Theory: An Introduction with Applications to Partial Differential Equations (2012)
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Part of Series
Applied Mathematical Sciences
Part of Series
Applied Mathematical Sciences (Springer)
Print Length
400 pages
Language
English
Publisher
Springer
Date Published
12 Nov 2011
ISBN-10
1461405017
ISBN-13
9781461405016

Description

In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.

Authors include a detailed proof of the singular limit process of the Cahn-Hilliard model, two new sections and more references in this second edition.

Product Details

Author:
Hansjörg Kielhöfer
Book Edition:
2012
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
12 November 2011
Dimensions:
23.39 x 15.6 x 2.39 cm
ISBN-10:
1461405017
ISBN-13:
9781461405016
Language:
English
Location:
New York, NY
Pages:
400
Publisher:
Weight:
743.89 gm

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