ON THE CLASSIFICATION OF INITIAL DATA FOR NONLINEARWAVE EQUATIONS

Citation:

GU Chaohao (C. H. GU).ON THE CLASSIFICATION OF INITIAL DATA FOR NONLINEARWAVE EQUATIONS[J].Chinese Annals of Mathematics B,2002,23(2):205~208
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Authors:

GU Chaohao (C. H. GU);

Foundation:

Project supported by the Chinese Special Funds for Major State Basic Research Project “Nonlinear Science”.
Abstract: The purpose of the present paper is to call for attention to the following question: Which of the initial data (nonsmall) admit global smooth solutions to the Cauchy problem for nonlinear wave equations. A few cases and examples are sketched, showing that the general answer of this question may be quite complicated.

Keywords:

Cauchy problem, Initial data, Global smooth solution

Classification:

35Q51, 35Q58
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