Analytic Inequalities and Their Applications in PDEs

• Main Author: Qin, Yuming (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Operator Theory: Advances and Applications, 241
• Subjects: Mathematics.; Operator theory.; Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Classical Mechanics.; Operator Theory.; Mathematical Physics.

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...

Table of 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. .