The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: Ž . Ž . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order < < of growth of the function f t, x, u, p with respect
One system of quasilinear hyperbolic equations: Uniqueness and global solvability of the Cauchy problem
✍ Scribed by Andrzej Łada
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 465 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The existence and uniqueness theorem is obtained Ž . Ž Ž .. Ž . for the solution of the Cauchy problem xЈ 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
## Abstract We study the wellposedness in the Gevrey classes __G__^__s__^ and in __C__^∞^ of the Cauchy problem for weakly hyperbolic equations of higher order. In this paper we shall give a new approach to the case that the characteristic roots oscillate rapidly and vanish at an infinite number of