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Analytic Inequalities and Their Applications in PDEs, PDF eBook

Analytic Inequalities and Their Applications in PDEs PDF

Part of the Operator Theory: Advances and Applications series

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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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