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Analytic Inequalities and Their Applications in PDEs / by Yuming Qin.
Springer Nature - Springer Mathematics and Statistics eBooks 2017 English International Available online
View online- Format:
- Book
- Author/Creator:
- Qin, Yuming., Author.
- Series:
- Advances in Partial Differential Equations, 2504-3587 ; 241
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Mechanics.
- Operator theory.
- Mathematical physics.
- Partial Differential Equations.
- Classical Mechanics.
- Operator Theory.
- Mathematical Physics.
- Local Subjects:
- Partial Differential Equations.
- Classical Mechanics.
- Operator Theory.
- Mathematical Physics.
- Physical Description:
- 1 online resource (XIII, 564 p.)
- Edition:
- 1st ed. 2017.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
- 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.
- 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. .
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 3-319-00831-5
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