Functional-Analytic Methods for Partial Differential Equations Proce

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1450 H. Fujita T Ikebe S.T Kuroda (Eds.)

Functional-Analytic Methods for Partial Differential Equations Proceedings of a Conference and a Symposium held in Tokyo, Japan, July 3-9, 1989

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Editors

Hiroshi Fujita Department of Mathematics, Meiji University Higashimita, Kawasaki, 214 Japan Teruo Ikebe Department of Mathematics, Kyoto, University Kyoto, 606 Japan Shige Toshi Kuroda Department of Mathematics, Gakushuin University Mejiro, Tokyo, 171 Japan

Mathematics Subject Classification (1980): 35,47, 81C, 81F ISBN 3-540-53393-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-53393-1 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 current version, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.

© Springer-Verlag Berlin Heidelberg 1990 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 - Printed on acid-free paper

Preface

In commemoration of his retirement from the University of California, Berkeley, an "International Conference on Functional Analysis and its Application in Honor of Professor Tosio Kato" was held on July 3 through 6, 1989, at Sanjo Conference Hall, University of Tokyo, the university where he began his academic career. The Organizing Committee, which consisted of Hiroshi Fujita (Meiji Univ.), S. T. Kuroda (Gakushuin Univ.), and Teruo Ikebe (Kyoto Univ., chairman), selected invited speakers mostly from among his students, students' students, and some recent collaborators. The Conference was followed by a "Symposium on Spectral and Scattering Theory" held on July 7 through 9 at Gakushuin Centennial Memorial Hall, Gakushuin University, Tokyo. The Conference received financial supports from the Inoue Foundation for Science and the Japan Association for Mathematical Sciences, and the Symposium from Gakushuin University. We express our gratitude to these organizations. Speakers and participants of these Conference and Symposium wish to heartily dedicate this volume to Professor Kato in celebration of his seventieth birthday. H. Fujita T. Ikebe S. T. Kuroda

Programmes!

INTERNATIONAL CONFERENCE ON FUNCTIONAL ANALYSIS AND ITS ApPLICATION IN HONOR OF PROFESSOR TosIO KATO

3, 1989 James S. Howland (Univ. of Virginia) Quantum Stability Peter Hess (Univ, of Zurich) Singular Perturbations in Periodic- Parabolic Problems Kenji Yajirna [Univ. of Tokyo) Smoothing Property of Schrodinger Propagators Frank. J. Massey III (Univ. of Michigan-Dearborn) Greg Bachelis (Wayne State Univ.) An Optimal Coin Tossing Proble