Year: 2009
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 74–96
Abstract
In this paper we consider the Cauchy problem for a semi-linear system of wave equations with Hamilton structure. We prove the existence of global smooth solution of the systemfor subcritical case by using conservation of energy and Strichartz's estimate. On the basis ofMorawetz-Poho\check{z}ev identity, we obtain the same result for the critical case.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-JPDE-5248
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 74–96
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Critical