Nonlinear Semigroups, Partial Differential Equations and Attractors

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1394 lL. Gill

WW Zachary (Eds.)

Nonlinear Semigroups, Partial Differential Equations and Attractors Proceedings of a Symposium held in Washington, D.C., August 3-7, 1987

Springer-Verlag Berlin Heidelberg New York London ParisTokyo Hong Kong

Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann

1394 lL. Gill

WW Zachary (Eds.)

Nonlinear Semigroups, Partial Differential Equations and Attractors Proceedings of a Symposium held in Washington, D.C., August 3-7, 1987

Springer-Verlag Berlin Heidelberg New York London ParisTokyo Hong Kong

Editors

Tepper L. Gill Woodford William Zachary Department of Electrical Engineering Howard University, 2300 Sixth Street NW Washington, D.C. 20059, USA

Mathematics Subject Classification (1980): 35G25, 35020, 35B37, 47H20, 58F07, 81C05 ISBN 3-540-51594-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-51594-1 Springer-Verlag New York Berlin Heidelberg

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.

© Springer-Verlag Berlin Heidelberg 1989 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 - Printed on acid-free paper

PlEfACE This volume comprises the proceedings of the second Symposium on Nonlinear Semigroups, Partial Differential Equations, and Attractors held at Howard University in Washington, D.C. on August 3-7, 1987. The proceedings of the first symposium, held two years earlier, was published as volume 1248 of this Lecture Notes Series.

The present

Symposium was made possible by grant support from the following funding agencies:

U.S. Air Force Office of Scientific Research, U.S.

Army Research Office, U.S. Department of Energy, National Aeronautics and Space Administration, U.S. National Science Foundation, and the U.S. Office of Naval Research. The local support committee consisted of James A. Donaldson (Howard University), Lawrence C. Evans (University of Maryland), James Sandefur and Andrew Vogt (Georgetown University), and Michael C. Reed (Duke University) whom we thank for their helpful advice. The Symposium brought together a total of 76 distinguished researchers in the Mathematical, Physical, and Engineering sciences working on analytical, topological, and numerical aspects of a large variety of nonlinear partial differential equations.

This

multidisciplinary character of the Symposium attendees brought about a productive exchange of ideas on various approaches to current problems in applied mathematics. In the past twenty or so years, there has been an increased interest in the stud