Abstract
In this paper, we discuss some initial-boundary value problems for nonlinear nondivergent parabolic equations of second order in high dimensional domains, where coefficients of equations are measurable in multiply connected domains. We focus on initial-oblique derivative problems. The estimates of solutions for the initial-boundary value problems are given, and then the solvability result is derived. The results in this paper are the development of the corresponding work in [1, 3, 4].
| Original language | English |
|---|---|
| Pages (from-to) | 8-19 |
| Number of pages | 12 |
| Journal | International Journal of Applied Mathematics and Statistics |
| Volume | 8 |
| Issue number | MO7 |
| State | Published - Mar 2007 |
Keywords
- High dimensional domains
- Initial-oblique derivative problems
- Nonlinear parabolic equations