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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: 580
Ilustrații: XIII, 564 p.
Dimensiuni: 160 x 241 x 37 mm
Greutate: 0.98 kg
Ediția:1st edition 2017
Editura: birkhäuser
Colecția Operator Theory: Advances and Applications
Seria Operator Theory: Advances and Applications

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 School of Mathematics and Statistics and the Institute for Nonlinear Sciences of Donghua University. His research interests are nonlinear evolutionary partial differential equations and their infinite dimensional dynamical systems. He finished more than 30 grants and is currently carrying out four grants from the National Natural Science Foundation of China, Ministry of Science and Technology of China and from the Shanghai Municipal Commission of Science and Technology. Prof. Qin is presently on the editorial boards of 4 international journals and has published over 120 mathematical articles, among which more than 100 articles are indexed in SCI. Prof. Qin has also published 10 monographs since 2008. Xiaolei Dong, born in 1991, is a lecturer in the School of Mathematics and Statistics of Zhoukou Normal University. His research interests are well-posedness of the boundary layer equations. He is currently carrying out one grant from the Natural Science Foundation of Henan Province. Xiuqing Wang, born in 1990, is a lecturer in the School of Faculty of Science of Kunming University of Science and Technology. Her research interests are well-posedness of the boundary layer equations and liquid crystal equations. She is currently carrying out one grant from the Natural Science Foundation of Yunnan Province.

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 ?