Analytic Inequalities and Their Applications in PDEs

• Κύριος συγγραφέας: Qin, Yuming (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Σειρά: Operator Theory: Advances and Applications, 241
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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. .