Obstacle problem for a class of parabolic equations of generalized p-Laplacian type
Research output: Contribution to journal › Article › Scientific › peer-review
We study nonlinear parabolic PDEs with Orlicz-type growth conditions. The main result gives the existence of a unique solution to the obstacle problem related to these equations. To achieve this we show the boundedness of weak solutions and that a uniformly bounded sequence of weak supersolutions converges to a weak supersolution. Moreover, we prove that if the obstacle is continuous, so is the solution.
|Number of pages||42|
|Journal||Journal of Differential Equations|
|Publication status||Published - 15 Nov 2016|
|MoE publication type||A1 Journal article-refereed|
- Degenerate/singular parabolic equations, General growth conditions, Obstacle problem