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Proceedings of the American Mathematical Society

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The uniform existence of solutions
for two-dimensional and three-dimensional
semilinear wave equations with oscillatory data


Author: Yin Huicheng
Journal: Proc. Amer. Math. Soc. 127 (1999), 195-198
MSC (1991): Primary 35L70
DOI: https://doi.org/10.1090/S0002-9939-99-04862-5
MathSciNet review: 1600098
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Abstract: For two-dimensional and three-dimensional semilinear wave equations, I prove the uniform existence of solutions with oscillatory initial data. Hence I solve an ``open question" in one paper of J. L. Joly, G. Metivier and J. Rauch.


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Additional Information

Yin Huicheng
Email: Huicheng@nju.edu.cn

DOI: https://doi.org/10.1090/S0002-9939-99-04862-5
Received by editor(s): May 7, 1997
Communicated by: Jeffrey B. Rauch
Article copyright: © Copyright 1999 American Mathematical Society