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Nonlinear Evolution Operators and Semigroups

Applications to Partial Differential Equations

  • Book
  • © 1987

Overview

Authors:
  1. Nicolae H. Pavel
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1260)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-VI
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  2. Nonlinear evolution operators

    • Nicolae H. Pavel
    Pages 1-60

  3. Nonlinear semigroups

    • Nicolae H. Pavel
    Pages 61-151

  4. Applications to partial differential equations

    • Nicolae H. Pavel
    Pages 152-233

  5. Back Matter

    Pages 234-285
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Nonlinear Evolution Operators and Semigroups

  • Book Subtitle: Applications to Partial Differential Equations

  • Authors: Nicolae H. Pavel

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0077768

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-17974-0Published: 24 June 1987

  • eBook ISBN: 978-3-540-47186-8Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 288

  • Topics: Analysis

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