Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds
β Scribed by O. V. Groshev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2010
- Tongue
- English
- Weight
- 333 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0040-5779
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π SIMILAR VOLUMES
The existence and uniqueness theorem is obtained Ε½ . Ε½ Ε½ .. Ε½ . for the solution of the Cauchy problem xΠ t s f t, x t , x t s x , for the 0 0 fuzzy-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported fuzzy sets in R n , where the functio
In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small