Lectures on Nonlinear Evolution Equations Initial Value Problem
The book in hand is based on lectures which were given at the University of Bonn in the winter semesters of 1989/90 and 1990/91. The aim of the lectures was to present an elementary, self-contained introduction into some important aspects of the theory of
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Edited by Klos Diederich Vol. E 1:
G. Hectorl U. Hirsch: Introduction to the Geometry of Foliations, Part A
Vol. E2:
M. Knebuschl M. Koister: Wittrings
Vol. E3:
G. Hectorl U. Hirsch: Introduction to the Geometry of Foliations, Part B
Vol. E4:
M. Laska: Elliptic Curves of Number Fields with Prescribed Reduction Type (out of printl
Vol. E5:
P. Stiller: Automorphic Forms and the Picard Number of an Elliptic Surface
Vol. E6:
G. Faltings/G. Wüstholz et al.: Rational Points*
Vol. E7:
W. StoII: Value Distribution Theory for Meromorphic Maps
Vol. E8:
W. von Wahl: The Equations of Navier-Stokes and Abstract Parabolic Equations (out of printl
Vol. E9:
A. Howard/ P.-M. Wong (Eds.l: Contributions to Several Complex Variables
Vol. E 10:
A. J Tromba (Ed.l: Seminar of New Results in Nonlinear Partial Differential Equations*
Vol. E 11:
M. Yoshida: Fuchsian Differential Equations*
Vol. E 12:
R. Kulkarni, U. Pinkall (Eds.l: Conformal Geometry*
Vol. E 13:
Y. Andre: G-Functions and Geometry*
Vol. E 14:
U. Cegrell: Capacities in Complex Analysis
Vol. E 15: J-P. Serre: Lectures on the Mordell-Weil Theorem Vol. E 16:
K.lwasaki/H. Kimura/S. Shimomura/M. Yoshida: From Gauss to Painleve
Vol. E 17:
K. Diederich IEd.l: Complex Analysis
Vol. E 18: W. W. J Hulsbergen: Conjectures in Arithmetic Aigebraic Geometry Vol. E 19:
R. Racke: Lectures on Nonlinear Evolution Equations
·A Publication of the Max-Planck-Institut für Mathematik, Bonn
Volumes of the German-Ianguage subseries ':Aspekte der Mathematik" are listed at the end of the book.
Reinhard Rocke
Lectures on Nonlinear
Evolution Equations Initial Value Problem
II vleweg
Priv.-Doz. Dr. Reinhard Racke Institute of Applied Mathematics University of Bonn Germany
Die Deutsche Bibliothek - CIP-Einheitsaufnahme
Racke, Reinbard: Lectures on nonlinear evolution equations: initial value problems / Reinhard Racke. - Braunschweig; Wiesbaden: Vieweg, 1992 (Aspects ofmathematics: E; Vo1.19) ISBN 978-3-663-10631-9 ISBN 978-3-663-10629-6 (eBook) DOI 10.1007/978-3-663-10629-6 NE: Aspects of mathematics / E
AMS Subject Classification. 35B40, 35K05, 35K55, 35L05, 35L45, 35L70, 35Q55, 35Q60, 35Q72, 73B30, 73C50 All rights reserved © Springer Fachmedien Wiesbaden 1992 Originally published by Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/ Wiesbaden in 1992 Vieweg is a subsidiary company of the Bertelsmann Publishing Group International.
No part of this publication may be reproduced, stored in a retrieval system or transrnitted, mechanical, photocopying or otherwise, without prior perrnission of the copyright holder.
Cover design: Wolfgang Nieger, Wiesbaden Printed on acid-free paper
ISSN 0179-2156
Preface The book in hand is based on lectures which were given at the University of Bonn in the winter semesters of 1989/90 and 1990/91. The aim of the lectures was to present an elementary, self-contained introduction into some important aspects of the theory of global, small, smooth solutions to initial value problems for non linear
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