Analytic Inequalities and Their Applications in PDEs
Published on 27. February 2017
Book
Hardback
XIII, 564 pages
978-3-319-00830-1 (ISBN)
Description
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.
Reviews / Votes
"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 Radulescu, zbMATH 1362.35002, 2017)
More details
Series
Edition
1st ed. 2017
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Research
Illustrations
XIII, 564 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 37 mm
Weight
1027 gr
ISBN-13
978-3-319-00830-1 (9783319008301)
DOI
10.1007/978-3-319-00831-8
Schweitzer Classification
Other editions
Additional editions
Book
05/2018
Birkhäuser
€181.89
Shipment within 10-15 days
E-Book
02/2017
Birkhäuser
€171.19
Available for download
Person
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.
Content
Preface.- 1 Integral Inequalities.- 2 Differential and Difference Inequalities.- 3 Global Attractors for Evolutionary Differential Equations.- 4 Global Existence and Uniqueness for Evolutionary PDEs.- 5 Asymptotic Behavior for Evolutionary PDEs.-6 Blow-up of Solutions to Evolutionary PDEs.- 7 Appendix: Basic Inequalities.