Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

Jehan Oh; Jihoon Ok

doi:10.1002/mma.7845

Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

Jehan Oh, Jihoon Ok

Sogang University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We obtain Calderón-Zygmund-type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.

Original language	English
Pages (from-to)	8718-8736
Number of pages	19
Journal	Mathematical Methods in the Applied Sciences
Volume	45
Issue number	14
DOIs	https://doi.org/10.1002/mma.7845
State	Published - 30 Sep 2022

Keywords

Calderón-Zygmund estimates
Orlicz spaces
degenerate parabolic equations
discontinuous coefficients
general growth

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10.1002/mma.7845

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title = "Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients",

abstract = "We obtain Calder{\'o}n-Zygmund-type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.",

keywords = "Calder{\'o}n-Zygmund estimates, Orlicz spaces, degenerate parabolic equations, discontinuous coefficients, general growth",

author = "Jehan Oh and Jihoon Ok",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley \& Sons, Ltd.",

year = "2022",

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T1 - Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

AU - Oh, Jehan

AU - Ok, Jihoon

PY - 2022/9/30

Y1 - 2022/9/30

N2 - We obtain Calderón-Zygmund-type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.

AB - We obtain Calderón-Zygmund-type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.

KW - Calderón-Zygmund estimates

KW - Orlicz spaces

KW - degenerate parabolic equations

KW - discontinuous coefficients

KW - general growth

UR - https://www.scopus.com/pages/publications/85116997044

U2 - 10.1002/mma.7845

DO - 10.1002/mma.7845

M3 - Article

AN - SCOPUS:85116997044

SN - 0170-4214

VL - 45

SP - 8718

EP - 8736

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 14

ER -

Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

Abstract

Keywords

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