Advances in Partial Differential Equations

Analytic Inequalities and Their Applications in PDEs

Authors: Qin, Yuming

  • 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 $109.00
price for USA (gross)
  • ISBN 978-3-319-00831-8
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-319-00830-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (12 chapters)

  • Integral Inequalities

    Qin, Yuming

    Pages 1-78

  • Differential and Difference Inequalities

    Qin, Yuming

    Pages 79-207

  • Attractors for Evolutionary Differential Equations

    Qin, Yuming

    Pages 209-229

  • Global Existence and Uniqueness for Evolutionary PDEs

    Qin, Yuming

    Pages 231-243

  • Global Existence and Uniqueness for Abstract Evolutionary Differential Equations

    Qin, Yuming

    Pages 245-255

Buy this book

eBook $109.00
price for USA (gross)
  • 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 $149.00
price for USA
  • ISBN 978-3-319-00830-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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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
Edition Number
1
Number of Pages
XIII, 564
Topics