Analytic inequalities and their applicat
β Qin, Yuming
π Library
π
2017
π BirkhΓ€user
π English
β¦ LIBER β¦
π
Analytic Inequalities and Their Applications in PDEs
β Scribed by Yuming Qin
- Publisher
- BirkhΓ€user
- Year
- 2017
- Tongue
- English
- Leaves
- 570
- Series
- Operator Theory: Advances and Applications 241
- Edition
- 1st ed.
- Category
- Library
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β¦ Synopsis
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
β¦ Table of Contents
Front Matter....Pages i-xiii
Integral Inequalities....Pages 1-78
Differential and Difference Inequalities....Pages 79-207
Attractors for Evolutionary Differential Equations....Pages 209-229
Global Existence and Uniqueness for Evolutionary PDEs....Pages 231-243
Global Existence and Uniqueness for Abstract Evolutionary Differential Equations....Pages 245-255
Global Existence and Asymptotic Behavior for Equations of Fluid Dynamics....Pages 257-290
Asymptotic Behavior of Solutions for Parabolic and Elliptic Equations....Pages 291-306
Asymptotic Behavior of Solutions to Hyperbolic Equations....Pages 307-356
Asymptotic Behavior of Solutions to Thermoviscoelastic, Thermoviscoelastoplastic and Thermomagnetoelastic Equations....Pages 357-392
Blow-up of Solutions to Nonlinear Hyperbolic Equations and Hyperbolic-Elliptic Inequalities....Pages 393-427
Blow-up of Solutions to Abstract Equations and Thermoelastic Equations....Pages 429-465
Appendix: Basic Inequalities....Pages 467-496
Back Matter....Pages 497-564
β¦ Subjects
Differential equations, Partial -- Numerical solutions
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