On the wave equation in a multi-dimensional corner
β Scribed by I. A. K. Kupka; S. J. Osher
- Publisher
- John Wiley and Sons
- Year
- 1971
- Tongue
- English
- Weight
- 391 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
We study a nonlinear wave equation on the two-dimensional sphere with a blowing-up nonlinearity. The existence and uniqueness of a local regular solution are established. Also, the behavior of the solutions is examined. We show that a large class of solutions to the initial value problem quench in f
## Abstract We prove unique continuation of solutions of the wave equation along and across lowerβdimensional planes containing the __t__βaxis. This is a sharpening and a generalization of a result of Cheng, Ding and Yamamoto as well as a simplification of the proof. Copyright Β© 2008 John Wiley & S