Superlinear Parabolic Problems

Blow-up, Global Existence and Steady States
2007
ISBN: 978-3-7643-8441-8
Verlag: Springer

Buch, Englisch, 584 Seiten, Book, Format (B × H): 165 mm x 235 mm, Gewicht: 1120 g

Reihe: Birkhäuser Advanced Texts Basler Lehrbücher

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, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.

Zielgruppe

Research

Autoren/Hrsg.

Quittner, Pavol

Souplet, Philippe

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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