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Advances in Partial Differential Equations

Analytic Inequalities and Their Applications in PDEs

Authors: Qin, Yuming

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  • 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 ​
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eBook $119.00
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  • ISBN 978-3-319-00831-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for Mexico
Softcover $159.99
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About this book

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

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

“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)

Table of contents (12 chapters)

Buy this book

eBook $119.00
price for Mexico
  • ISBN 978-3-319-00831-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for Mexico
Softcover $159.99
price for Mexico
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Bibliographic Information

Bibliographic Information
Book Title
Analytic Inequalities and Their Applications in PDEs
Authors
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