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Analytic Inequalities and Their Applications in PDEs
171,19 €*
ISBN-13:
9783319008318
Veröffentl:
2017
Seiten:
564
Autor:
Yuming Qin
Serie:
241, Operator Theory: Advances and Applications Advances in Partial Differential Equations
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
This book presents analytic inequalities and their applications in partial differential equations. Examines integral, differential and difference inequalities, decay rates and blow-up of solutions to various classes of evolutionary differential equations.
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.¿