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

Byun, Sun-Sig; Ryu, Seungjin

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

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.

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