Analytic Inequalities and Their Applications in PDEs

Gebonden Engels 2017 2015e druk 9783319008301
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Samenvatting

This book presents a number of analytic inequalities and their applications in partial differential equations. These 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. Summarizing results from a vast number of literature sources such as published papers, preprints and books, it categorizes inequalities in terms of their different properties.

Specificaties

ISBN13:9783319008301
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:676
Uitgever:Springer International Publishing
Druk:2015

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Inhoudsopgave

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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          Analytic Inequalities and Their Applications in PDEs