Analytic Inequalities and Their Applications in PDEs

  • Yuming Qin

Part of the Operator Theory: Advances and Applications book series (OT, volume 241)

Also part of the Advances in Partial Differential Equations book sub series (APDE, volume 241)

About this book

Introduction

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.

Keywords

analytic inequalities differential and difference inequalities hyperbolic equations integral inequalities parabolic equations

Authors and affiliations

  • Yuming Qin
    • 1
  1. 1.Department of Applied Mathematics Institute for Nonlinear ScienceDonghua UniversityShanghaiChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00831-8
  • Copyright Information Springer International Publishing Switzerland 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-00830-1
  • Online ISBN 978-3-319-00831-8
  • Series Print ISSN 0255-0156
  • Series Online ISSN 2296-4878
  • About this book