Global classical solutions to the Cauchy problem for a nonlinear wave equation

Haroldo R. Clark

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-16

Abstract:

In this paper we consider the Cauchy problem { u ″ + M ( | A 1 2 u | 2 ) A u = 0 in ] 0 , T [ u ( 0 ) = u 0 , u ′ ( 0 ) = u 1 , where u ′ is the derivative in the sense of distributions and | A 1 2 u | is the H -norm of A 1 2 u . We prove the existence and uniqueness of global classical solution.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:750404

DOI: 10.1155/S016117129800074X

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