Higher integrability for parabolic systems with Orlicz growth

[摘要] We prove higher integrability of the spatial gradient of weak solutions to parabolic systems with phi-growth, where phi = phi(t) is a general Orlicz function. The parabolic systems need be neither degenerate nor singular. Our result is a generalized version of the one of Kinnunen and Lewis (2000) [34] for the parabolic p-Laplace systems. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-11-05

[关键词] Parabolic system;Higher integrability;Orlicz growth