Parabolic Equations in Reifenberg Domains |
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| Authors: | Sun-Sig Byun Lihe Wang |
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| Affiliation: | (1) Department of Mathematics, Seoul National University, Seoul, 151–747, Korea;(2) Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA;(3) College of Sciences, Xian Jiaotong University, Xian, 710049, China |
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| Abstract: | Natural Sobolev-type estimates are proved for weak solutions of inhomogeneous parabolic equations in divergence form in a bounded cylinder  *=×(0,T] which is  -Reifenberg flat in the space direction. The principal coefficients of the operator are assumed to be in BMO space with their BMO semi-norms small enough. |
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