Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

Oh, Jehan; Ok, Jihoon

doi:10.1002/mma.7845

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Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

Oh, Jehan;
Ok, Jihoon

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2

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2

초록

We obtain Calderon-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.

키워드

degenerate parabolic equations; general growth; discontinuous coefficients; Calderon-Zygmund estimates; Orlicz spaces; ELLIPTIC PROBLEMS; SYSTEMS; REGULARITY; EQUATIONS

제목: Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

저자: Oh, Jehan; Ok, Jihoon

DOI: 10.1002/mma.7845

발행일: 2022-09-30

유형: Article

저널명: Mathematical Methods in the Applied Sciences

권: 45

호: 14

페이지: 8718 ~ 8736