Superlinear parabolic problems : blow-up, global existence and steady states /
"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 chemistr...
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| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
c2007
Basel ; Boston : Birkhäuser, ©2007 Basel ; Boston : c2007 Basel ; Boston : ©2007 |
| Series: | Birkhäuser advanced texts
Birkhäuser advanced texts Birkhäuser advanced texts Birkhäuser advanced texts |
| Subjects: |
Table of Contents:
- I Model Elliptic Problems
- II. Model Parabolic Problems
- III. Systems
- IV. Equations with Gradient Terms
- V. Nonlocal Problems
- App. A. Linear elliptic equations
- App. B. Linear parabolic equations
- App. C. Linear theory in L[subscript [delta]][superscript p]-spaces and in uniformly local spaces
- App. D. Poincare, Hardy-Sobolev, and other useful inequalities
- App. E. Local existence, regularity and stability for semilinear parabolic problems
- App. F. Maximum and comparison principles. Zero number
- App. G. Dynamical systems
- App. H. Methodological notes.