Superlinear parabolic problems: blow-up, global existence and steady states

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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, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics.

Author(s): Pavol Quittner, Philippe Souplet
Series: Birkhaeuser advanced texts
Publisher: Birkhaeuser Verlag Basel - Boston - Berlin
Year: 2007

Language: English
Pages: 593
City: Boston, MA