
Analytic Inequalities and Their Applications in PDEs
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This book aims at presenting some analytic inequalities and their applications in partial differential equations. These inequalities 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. The material summarizes results from a vast literature such as published papers, preprints, and books, and categorizes inequalities in terms of their different properties.