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Analytic Inequalities and Their Applications in PDEs (Operator Theory: Advances and Applications)

ISBN: 9783319008301
Publisher: Birkhäuser
Edition: 1st ed. 2017
Publication Date: 2017-02-16
Number of pages: 564
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Description


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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