Authors:
- Challenges the reader with many exercises, examples and illustrations
- Includes recent developments and several open problems
- Serves as an excellent textbook for a first course in modern analysis or as an excellent resource for a self-study guide
- Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 79)
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Table of contents (7 chapters)
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Front Matter
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Asymptotic Behavior of Solutions of Partial Differential Equations
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Front Matter
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Useful Analytic Tools
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
“This book studies the asymptotic behavior of solutions to some nonlinear evolution problems by using rescaling … methods with self-similar solutions … . not only are there exercises but also answers to these exercises. In any case this book is a very welcome and useful addition to the literature.” (Jesús Hernández, Mathematical Reviews, Issue 2011 f)
“The book presents typical methods … for the examination of the behavior of solutions of nonlinear partial differential equations of diffusion type. … The aim of the authors was to teach the readers to deal with such tools during the study of PDEs and to give them a strong motivation for their study. … The book is written in a very pedagogical way. Each chapter contains plenty of exercises whose detailed solutions can be found at the end of the book.” (Pavol Quittner, Zentralblatt MATH, Vol. 1215, 2011)
Authors and Affiliations
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, Graduate School of Mathematical Sciences, University of Tokyo, Meguro-ku, Japan
Mi-Ho Giga
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Graduate School of, Mathematical Sciences, University of Tokyo, Tokyo, Japan
Yoshikazu Giga
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, Center of Smart Interfaces, Technische Universität Darmstadt, Darmstadt, Germany
Jürgen Saal
Bibliographic Information
Book Title: Nonlinear Partial Differential Equations
Book Subtitle: Asymptotic Behavior of Solutions and Self-Similar Solutions
Authors: Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-0-8176-4651-6
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Hardcover ISBN: 978-0-8176-4173-3Published: 17 June 2010
eBook ISBN: 978-0-8176-4651-6Published: 30 May 2010
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: XVIII, 294
Number of Illustrations: 7 b/w illustrations
Topics: Partial Differential Equations, Functional Analysis, Analysis, Approximations and Expansions