The uniform existence of solutions for two-dimensional and three-dimensional semilinear wave equations with oscillatory data
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- by Yin Huicheng PDF
- Proc. Amer. Math. Soc. 127 (1999), 195-198 Request permission
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.References
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- Jean-Luc Joly, Guy Métivier, and Jeffrey Rauch, Nonlinear oscillations beyond caustics, Comm. Pure Appl. Math. 49 (1996), no. 5, 443–527. MR 1377560, DOI 10.1002/(SICI)1097-0312(199605)49:5<443::AID-CPA1>3.0.CO;2-B
- J.-L. Joly, G. Métivier, and J. Rauch, Focusing at a point and absorption of nonlinear oscillations, Trans. Amer. Math. Soc. 347 (1995), no. 10, 3921–3969. MR 1297533, DOI 10.1090/S0002-9947-1995-1297533-8
Additional Information
- Yin Huicheng
- Email: Huicheng@nju.edu.cn
- Received by editor(s): May 7, 1997
- Communicated by: Jeffrey B. Rauch
- © Copyright 1999 American Mathematical Society
- 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