English

Gradient higher integrability for degenerate parabolic double-phase systems

Analysis of PDEs 2023-04-20 v2

Abstract

We prove local higher integrability of the gradient of a weak solution to a degenerate parabolic double-phase system. This result comes with a reverse H\"older type estimate for the gradient. The proof is based on estimates in the intrinsic geometry and stopping time arguments.

Keywords

Cite

@article{arxiv.2207.06807,
  title  = {Gradient higher integrability for degenerate parabolic double-phase systems},
  author = {Wontae Kim and Juha Kinnunen and Kristian Moring},
  journal= {arXiv preprint arXiv:2207.06807},
  year   = {2023}
}
R2 v1 2026-06-25T00:54:39.876Z