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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.
Published by: Birkhäuser
Publication Date: 2017-02-27
Format: Hardcover
ISBN-13: 9783319008301
DOI: 10.1007/978-3-319-00831-8
Dimensions: 235cm x155cm
Pages: 564