Superlinear Parabolic Problems : Blow-up, Global Existence and Steady States. 2nd ed. 2019

種類:

電子ブック

責任表示:

by Prof. Dr. Pavol Quittner, Prof. Dr. Philippe Souplet

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2019

著者名:

• Quittner, Prof. Dr. Pavol.
• Souplet, Prof. Dr. Philippe.
• SpringerLink (Online service)

シリーズ名:

Birkhäuser Advanced Texts Basler Lehrbücher ;

ISBN:

9783030182229 [3030182223]    

注記:

Model Elliptic Problems -- Model Parabolic Problems -- Systems -- Equations with Gradient Terms -- Nonlocal Problems.
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 first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. 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. Many open p

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