Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains
β Scribed by Guo Chun Wen; Dechang Chen; Xiuzhen Cheng
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 192 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived.
π SIMILAR VOLUMES
We give estimates of solutions of oblique derivative problems for nonlinear uniformly elliptic equations of second order with measurable coefficients in high dimensional domains, and prove the solvability of the problem.
## Abstract The initial boundary value problem for the evolution system describing geophysical flow in threeβdimensional domains was considered. The existence and uniqueness of global strong solution to the evolution system were proved under assumption on smallness of data. Moreover, solvable compa