Higher integrability for parabolic systems with Orlicz growth

Hasto, Peter; Ok, Jihoon

doi:10.1016/j.jde.2021.08.012

상세 보기

Higher integrability for parabolic systems with Orlicz growth

Hasto, Peter;
Ok, Jihoon

Citations

WEB OF SCIENCE

12

Citations

SCOPUS

12

초록

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.

키워드

Parabolic system; Higher integrability; Orlicz growth; ELLIPTIC PROBLEMS; WEAK SOLUTIONS; REGULARITY; GRADIENT; EQUATIONS

제목: Higher integrability for parabolic systems with Orlicz growth

저자: Hasto, Peter; Ok, Jihoon

DOI: 10.1016/j.jde.2021.08.012

발행일: 2021-11-05

유형: Article

저널명: Journal of Differential Equations

권: 300

페이지: 925 ~ 948