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Analytic Inequalities and Their Applications in PDEs
Author
Title
Analytic Inequalities and Their Applications in PDEs [electronic resource] / by Yuming Qin.
ISBN
9783319008318
Publication
Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
Physical Description
XIII, 564 p. : online resource.
Local Notes
Access is available to the Yale community.
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Summary
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.
Variant and related titles
Springer ebooks.
Other formats
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
March 03, 2017
Series
Operator Theory: Advances and Applications, 241
Contents
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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