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.
• Physical Description: XIII, 564 p. online resource.
• ISBN: 9783319008318
• ISSN: 0255-0156 ;

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.