Superlinear Parabolic Problems Blow-up, Global Existence and Steady States /

• Main Authors: Quittner, Pavol (Author), Souplet, Philippe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Birkhäuser Advanced Texts / Basler Lehrbücher
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Potential theory (Mathematics).; Partial Differential Equations.; Potential Theory.; Functional Analysis.

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, phy...

Table of Contents:

• Preliminaries
• Model Elliptic Problems
• Model Parabolic Problems
• Systems
• Equations with Gradient Terms
• Nonlocal Problems.