Analytic Inequalities and Their Applications in PDEs

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ISBN-13:
9783319008301
Veröffentl:
2017
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
27.02.2017
Seiten:
580
Autor:
Yuming Qin
Gewicht:
1027 g
Format:
241x160x37 mm
Serie:
241, Advances in Partial Differential Equations
Sprache:
Englisch
Beschreibung:
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.
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.

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