Book Details

Superlinear Parabolic Problems

Publication year: 2007

: 978-3-7643-8442-5

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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.Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas.


: Mathematics and Statistics, A-priori bounds, Cauchy problem, Dirichlet problem, blow-up, parabolic problem, partial differential equation