img Leseprobe Leseprobe

Analytic Inequalities and Their Applications in PDEs

Yuming Qin

PDF
ca. 171,19

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

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.

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Schlagwörter

hyperbolic equations, integral inequalities, partial differential equations, analytic inequalities, differential and difference inequalities, parabolic equations