Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems

Sun Sig Byun; Seungjin Ryu

doi:10.1090/S0002-9939-09-10094-1

Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems

Sun Sig Byun, Seungjin Ryu

Department of Mathematics

Seoul National University

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

13 Scopus citations

Abstract

We find not only an optimal regularity requirement on the coefficients, but also a lowest level of regularity on the boundary for the global estimate of the gradient of a parabolic system in the setting of Orlicz spaces.

Original language	English
Pages (from-to)	641-653
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-09-10094-1
State	Published - Feb 2010

Keywords

Covering lemma
Gradient estimate
Maximal function
Orlicz space
Parabolic system
Reifenberg domain

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10.1090/S0002-9939-09-10094-1

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title = "Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems",

abstract = "We find not only an optimal regularity requirement on the coefficients, but also a lowest level of regularity on the boundary for the global estimate of the gradient of a parabolic system in the setting of Orlicz spaces.",

keywords = "Covering lemma, Gradient estimate, Maximal function, Orlicz space, Parabolic system, Reifenberg domain",

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AU - Ryu, Seungjin

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AB - We find not only an optimal regularity requirement on the coefficients, but also a lowest level of regularity on the boundary for the global estimate of the gradient of a parabolic system in the setting of Orlicz spaces.

KW - Covering lemma

KW - Gradient estimate

KW - Maximal function

KW - Orlicz space

KW - Parabolic system

KW - Reifenberg domain

UR - https://www.scopus.com/pages/publications/77951470766

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JF - Proceedings of the American Mathematical Society

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Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems

Abstract

Keywords

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