Differential Equations and Mathematical Physics Proceedings of an In
The meeting in Birmingham, Alabama, provided a forum for the discussion of recent developments in the theory of ordinary and partial differential equations, both linear and non-linear, with particular reference to work relating to the equations of mathema
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1285 I. W Knowles Y. Saito (Eds)
Differential Equations and Mathematical Physics Proceedings of an International Conference held in Birmingham, Alabama, USA, March 3-8, 1986
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann
1285 I. W Knowles Y. Saito (Eds)
Differential Equations and Mathematical Physics Proceedings of an International Conference held in Birmingham, Alabama, USA, March 3-8, 1986
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Ian W. Knowles Yoshimi Saito Department of Mathematics, The University of Alabama at Birmingham Birmingham, AL 35294, USA
Mathematics Subject Classification (1980): 34, 35, 42, 73, 76, 78,81 ISBN 3-540-18479-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-18479-1 Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1987 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
This volume is respectfully dedicated to Professor Tosio Kato on the occasion of his seventieth birthday.
PREFACE This volume forms a permanent record of lectures given at the International Conference on Differential Equations and Mathematical Physics held at the Universi ty of Alabama at Birmingham during March 3-8. 1986. The conference was supported by about 250 mathematicians from the following countries:
Belgium. Canada. Czechoslovakia. Denmark. Egypt. Finland. France.
Hungary. India. Ireland. Japan. Kuwait. Nigeria. Norway. P.R. of China. South Africa. Sweden. Switzerland. The Netherlands. the U.K.. the U.S.A .. and West Germany.
Its main purpose was to provide a forum for the discussion of recent
developments in the theory of ordinary and partial differential equations. both linear and non-linear. with particular reference to work relating to the equations of mathematical physics.
Invited one-hour lectures were given by P.
Deift. R. DiPerna. W.N. Everitt. C. Foias. T. Kato. S. Kotani. A. Majda. J. Mawhin. J. McLaughlin. J. McLeod. C. Morawetz. R. Newton. R. Phillips. M. Reed. I. Sigal. and B. Simon.
The remainder of the program consisted of invited
one-half hour lectures.
On behalf of the participants. the conference directors acknowledge. with gratitude. the generous financial support provided by the U.S. National Science Foundation. under grant number DMS-8516772. the Department of Mathematics and the Graduate School. University of Alabama at Birm