Higher integrability for doubly nonlinear parabolic systems

Verena Bögelein, Frank Duzaar, Juha Kinnunen, Christoph Scheven

Published 2018-10-14Version 1

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.