| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618983 | Journal of Mathematical Analysis and Applications | 2010 | 9 Pages |
Abstract
We study the unsaturated case of the Richards equation in three space dimensions with Dirichlet boundary data. We first establish an a priori L∞-estimate. With its help, by means of a fixed point argument we prove global in time existence of a unique weak solution in Sobolev spaces. Finally, we are able to improve the regularity of this weak solution in order to gain a strong one.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
