Analytic Inequalities and Their Applications in PDEs
-9 %

Analytic Inequalities and Their Applications in PDEs

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ISBN-13:
9783319008301
Einband:
Buch
Erscheinungsdatum:
15.03.2017
Seiten:
564
Autor:
Yuming Qin
Gewicht:
1035 g
Format:
241x167x38 mm
Serie:
241, Operator Theory: Advances and Applications
Sprache:
Englisch
Beschreibung:
Presents useful basic analytic inequalities
Preface.- 1 Integral Inequalities.- 2 Differential and Difference Inequalities.- 3 Global Attractors for Evolutionary Differential Equations.- 4 Global Existence and Uniqueness for Evolutionary PDEs.- 5 Asymptotic Behavior for Evolutionary PDEs.-6 Blow-up of Solutions to Evolutionary PDEs.- 7 Appendix: Basic Inequalities._
This book aims at presenting some analytic inequalities and their applications in partial differential equations. These inequalities include integral inequalities, differential inequalities and difference inequalities which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. The material summarizes results from a vast literature such as published papers, preprints, and books, and categorizes inequalities in terms of their different properties.

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