- Presents useful basic analytic inequalities
- Shows results and techniques in differential equations
- Describes analytic inequalities categorized with different aims
- Emphasizes applications in partial differential equations
Buy this book
- About this book
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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.
- About the authors
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Yuming Qin, born in 1963, is a professor in the Department of Applied Mathematics and the Institute for Nonlinear Science of Donghua University. His research interests are nonlinear evolutionary partial differential equations and their infinite dimensional dynamical systems. He finished more than 20 grants and is currently carrying out three grants from the National Natural Science Foundation of China and from the Shanghai Education Commission. Prof. Qin is presently on the editorial boards of four international journals and has published over 80 mathematical articles, among them more than 50 SCI articles, as well as four Birkhäuser monographs since 2008.
- Reviews
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“The book is well written. It will be a pleasant and very useful tool for advanced students and researchers in mathematics and applied sciences.” (Denise Huet, Mathematical Reviews, November, 2017)
“This book presents in a systematic way several useful analytic inequalities and their applications in partial differential equations. … The book under review is carefully written and suitable for advanced graduate students and researchers … . The preparation offered by the book is sufficient for undertaking research in these areas. The book can also serve as a reference work for professional mathematicians.” (Teodora-Liliana Rădulescu, zbMATH 1362.35002, 2017)
- Table of contents (12 chapters)
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Integral Inequalities
Pages 1-78
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Differential and Difference Inequalities
Pages 79-207
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Attractors for Evolutionary Differential Equations
Pages 209-229
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Global Existence and Uniqueness for Evolutionary PDEs
Pages 231-243
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Global Existence and Uniqueness for Abstract Evolutionary Differential Equations
Pages 245-255
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Analytic Inequalities and Their Applications in PDEs
- Authors
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- Yuming Qin
- Series Title
- Advances in Partial Differential Equations
- Series Volume
- 241
- Copyright
- 2017
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-00831-8
- DOI
- 10.1007/978-3-319-00831-8
- Hardcover ISBN
- 978-3-319-00830-1
- Softcover ISBN
- 978-3-319-79125-8
- Series ISSN
- 2504-3587
- Edition Number
- 1
- Number of Pages
- XIII, 564
- Topics
