Uniqueness of the bounded solution to a strongly degenerate parabolic problem |
| |
Authors: | Qiang Liu Chunpeng Wang |
| |
Affiliation: | 1. Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, PR China;2. Department of Mathematics, Jilin University, Changchun 130012, PR China |
| |
Abstract: | This paper concerns the uniqueness of the bounded solution to a strongly degenerate parabolic problem. The equation considered may have two kinds of strong degeneracies and there is no restriction on the relation between the two degeneracies. By using Holmgren’s approach, we prove that the bounded solution of the associated initial–boundary value problem is unique under some essentially necessary condition on the growth of the convection. |
| |
Keywords: | 35K65 35M10 |
本文献已被 ScienceDirect 等数据库收录! |
|