LP Bounds of solutions of reaction-diffusion equations
LP Bounds of solutions of reaction-diffusion equations
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DOI：
10.1080/03605307908820113
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发表时间：
1979
影响因子：
1.9
通讯作者：
N. Alikakos
中科院分区：
文献类型：
--
作者：
N. Alikakos
§ I Introduction. In the study of the large time behavior of parabolic equations, the establishment of a priori L~ bounds plays a central role. It allows one, among other things, to obtain global existence of solutions and often compactness of the orbits. The purpose of this paper is to apply a method (whose essential features were introduced in Alikakos [I]) iterative in P nature, for establishing L. bounds (p=+-. included) from known L~ bounds (q< p). As a rule, this method allows us, to prove that a solution which is bounded as a function of the time in a L 1 space is actually bounded in the usual sense. The L'boundedness is an assumption on the initial data and in general is not possibleCopyright O 1979 by Marcel Dekker, Inc. All Rights Reserved. Neither this work nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilmigg, and recording, or by any information storage and retrieval system, without permission in writing from the publisher.
