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Birkhäuser - Birkhäuser Mathematics | Nonlinear Partial Differential Equations - Asymptotic Behavior of Solutions and Self-Similar Solutions (Reviews)

Nonlinear Partial Differential Equations

Asymptotic Behavior of Solutions and Self-Similar Solutions

Giga, Mi-Ho, Giga, Yoshikazu, Saal, Jürgen

2010, XVIII, 294p. 7 illus..

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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)

 

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