Blow-up Theories for Semilinear Parabolic Equations

There is an enormous amount of work in the literature about the blow-up behavior of evolution equations.

It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations.

To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.

Table of Contents
Chapter 1 Introduction
Chapter 2 A Review of Elliptic Theories
Chapter 3 A Review of Parabolic Theories
Chapter 4 A Review of Fixed Point Theorems
Chapter 5 Finite Time BlowUp for Evolution Equations
Chapter 6 SteadyState Solutions
Chapter 7 BlowUp Rate
Chapter 8 Asymptotically SelfSimilar BlowUp Solutions
Chapter 9 One Space Variable Case

Book Details

  • Paperback: 137 pages
  • Publisher: Springer (April  2011)
  • Language: English
  • ISBN-10: 3642184596
  • ISBN-13: 978-3642184598
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