Analytic Inequalities and Their Applications in PDEs

Yuming Qin (Autor)

Buch | Hardcover

XIII, 564 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-00830-1 (ISBN)

Artikel merken

This book aims at presenting some analytic inequalities and their applications in partial differential equations. These inequalities 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. The material summarizes results from a vast literature such as published papers, preprints, and books, and categorizes inequalities in terms of their different properties.

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.

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.

"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)

Erscheint lt. Verlag	27.2.2017
Reihe/Serie	Advances in Partial Differential Equations
Reihe/Serie	Operator Theory: Advances and Applications
Zusatzinfo	XIII, 564 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1020 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	analytic inequalities • differential and difference inequalities • Hyperbolic equations • integral inequalities • Parabolic equations • Partial differential equations
ISBN-10	3-319-00830-7 / 3319008307
ISBN-13	978-3-319-00830-1 / 9783319008301
Zustand	Neuware