Global higher integrability for parabolic quasiminimizers in metric measure spaces
Research output: Contribution to journal › Article › Scientific › peer-review
|Number of pages||33|
|Journal||JOURNAL D ANALYSE MATHEMATIQUE|
|Publication status||Published - 20 Apr 2015|
|MoE publication type||A1 Journal article-refereed|
- University of Jyväskylä
We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces related to the heat equation. We assume the underlying metric measure space to be equipped with a doubling measure and to support a weak Poincaré inequality. The boundary of the domain is assumed to satisfy a regularity condition.