Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems
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- by Sun-Sig Byun and Seungjin Ryu PDF
- Proc. Amer. Math. Soc. 138 (2010), 641-653 Request permission
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.References
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Additional Information
- Sun-Sig Byun
- Affiliation: Department of Mathematics, Seoul National University, Seoul 151-747, Republic of Korea
- MR Author ID: 738383
- 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
- Received by editor(s): May 8, 2009
- Published electronically: 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 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 641-653
- MSC (2000): Primary 35K40, 35R05; Secondary 46E30, 46E35
- DOI: https://doi.org/10.1090/S0002-9939-09-10094-1
- MathSciNet review: 2557181