Nonlinear Evolution Operators and Semigroups

Applications to Partial Differential Equations

  • Authors
  • Nicolae H. Pavel

Part of the Lecture Notes in Mathematics book series (LNM, volume 1260)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Nicolae H. Pavel
    Pages 1-60
  3. Nicolae H. Pavel
    Pages 61-151
  4. Nicolae H. Pavel
    Pages 152-233
  5. Back Matter
    Pages 234-285

About this book

Introduction

This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.

Keywords

differential equation functional analysis partial differential equation semigroup

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0077768
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17974-0
  • Online ISBN 978-3-540-47186-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book