Proceedings of the American Mathematical Society

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

Author(s): Sun-Sig Byun; Seungjin Ryu
Journal: Proc. Amer. Math. Soc. 138 (2010), 641-653.
MSC (2000): Primary 35K40, 35R05; Secondary 46E30, 46E35
Posted: October 5, 2009
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35K40, 35R05, 46E30, 46E35

Sun-Sig Byun
Affiliation: Department of Mathematics, Seoul National University, Seoul 151-747, Republic of Korea
Email: byun@snu.ac.kr

Seungjin Ryu
Affiliation: Department of Mathematics, Seoul National University, Seoul 151-747, Republic of Korea
Email: sjryu@math.snu.ac.kr

DOI: 10.1090/S0002-9939-09-10094-1
PII: S 0002-9939(09)10094-1
Keywords: Gradient estimate, Orlicz space, parabolic system, maximal function, covering lemma, Reifenberg domain
Received by editor(s): May 8, 2009
Posted: October 5, 2009
Additional Notes: This work was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-314-C00024).
Communicated by: Tatiana Toro
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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