Higher integrability for doubly nonlinear parabolic systems
Analysis of PDEs
2024-06-05 v1
Abstract
This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the intrinsic geometry involves the solution as well as its spatial gradient. The main result holds true for a range of parameters suggested by other nonlinear parabolic systems.
Cite
@article{arxiv.1810.06039,
title = {Higher integrability for doubly nonlinear parabolic systems},
author = {Verena Bögelein and Frank Duzaar and Juha Kinnunen and Christoph Scheven},
journal= {arXiv preprint arXiv:1810.06039},
year = {2024}
}