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Nonlinear Semigroups, Partial Differential Equations and Attractors

Proceedings of a Symposium held in Washington, DC, August 5-8, 1985

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Tepper L. Gill
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  2. Woodford W. Zachary
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1248)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Convergence properties of strongly-damped semilinear wave equations

    • Joel D. Avrin
    Pages 1-4

  3. Numerical solution of certain nonlinear parabolic partial differential equations

    • S. A. Belbas
    Pages 5-14

  4. The explicit solution of nonlinear ordinary and partial differential equations I. Conceptual ideas

    • M. S. Berger
    Pages 15-27

  5. Uniform boundness and genralized inverses in liapunov-schmidt method for subharmonics

    • Whei-Ching C. Chan, Shui-Nee Chow
    Pages 28-39

  6. Existence of radially symmetric solutions of strongly damped wave equations

    • Hans Engler
    Pages 40-51

  7. Strongly damped semilinear second order equations

    • H. Engler, F. Neubrander, J. Sandefur
    Pages 52-62

  8. Nonlinear semigroup theory and viscosity solutions of Hamilton-Jacobi PDE

    • Lawrence C. Evans
    Pages 63-77

  9. Evolution equations with nonlinear boundary conditions

    • Jerome A. Goldstein
    Pages 78-84

  10. Asymptotically smooth semigroups and applications

    • Jack K. Hale
    Pages 85-93

  11. The principle of spatial averaging and inertial manifolds for reaction-diffusion equations

    • John Mallet-Paret, George R. Sell
    Pages 94-107

  12. Applications of semigroup theory to reaction-diffusion systems

    • Robert H. Martin Jr.
    Pages 108-126

  13. Ultrasingularities in nonlinear waves

    • Jeffrey Rauch, Michael C. Reed
    Pages 127-133

  14. A reaction-hyperbolic system in physiology

    • M. C. Reed, J. J. Blum
    Pages 134-141

  15. Compact perturbations of linear m-dissipative operators which lack Gihman's property

    • Eric Schechter
    Pages 142-161

  16. Two compactness lemmas

    • Thomas I. Seidman
    Pages 162-168

  17. The riccati equation: When nonlinearity reduces to linearity

    • Andrew Vogt
    Pages 169-185
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Keywords

About this book

The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

Bibliographic Information

  • Book Title: Nonlinear Semigroups, Partial Differential Equations and Attractors

  • Book Subtitle: Proceedings of a Symposium held in Washington, DC, August 5-8, 1985

  • Editors: Tepper L. Gill, Woodford W. Zachary

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0077409

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-17741-8Published: 06 May 1987

  • eBook ISBN: 978-3-540-47791-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 188

  • Topics: Algebra

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