| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613133 | Journal of Differential Equations | 2008 | 29 Pages |
Abstract
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non-autonomous dynamical system generated by this class of solutions is shown to have a global pullback attractor.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
