Higher integrability for parabolic systems with Orlicz growth - UTU Research Portal

A1 Refereed original research article in a scientific journal

Higher integrability for parabolic systems with Orlicz growth

Authors: Hästö Peter, Ok Jihoon

Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE

Publication year: 2021

Journal:Journal of Differential Equations

Journal name in sourceJOURNAL OF DIFFERENTIAL EQUATIONS

Journal acronym: J DIFFER EQUATIONS

Volume: 300

First page : 925

Last page: 948

Number of pages: 24

ISSN: 0022-0396

eISSN: 1090-2732

DOI: https://doi.org/10.1016/j.jde.2021.08.012

Self-archived copy’s web address: https://arxiv.org/abs/1905.05577

Abstract

We prove higher integrability of the spatial gradient of weak solutions to parabolic systems with φ-growth, where φ= φ(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.