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Analytic Inequalities and Their Applications in PDEs de Yuming Qin

Analytic Inequalities and Their Applications in PDEs: Operator Theory: Advances and Applications, cartea 241

Autor Yuming Qin
en Limba Engleză Hardback – 27 feb 2017
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.
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Specificații

ISBN-13: 9783319008301
ISBN-10: 3319008307
Pagini: 670
Ilustrații: XIII, 564 p.
Dimensiuni: 155 x 235 x 36 mm
Greutate: 0.98 kg
Ediția:1st ed. 2017
Editura: Springer International Publishing
Colecția Birkhäuser
Seriile Operator Theory: Advances and Applications, Advances in Partial Differential Equations

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.​  

Recenzii

“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)

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

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 ?