Higher integrability for parabolic systems with Orlicz growth

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:300

Article

Hasto, Peter^1,2  Ok, Jihoon³ 

[1] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland

[2] Univ Oulu, Dept Math, FI-90014 Oulu, Finland

[3] Sogang Univ, Dept Math, Seoul 04107, South Korea

关键词: Parabolic system;    Higher integrability;    Orlicz growth;   

DOI  :  10.1016/j.jde.2021.08.012

来源: Elsevier

【 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.

【 授权许可】

Free