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Parabolic equations in time dependent Reifenberg domains |
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| Authors: | Sun-Sig Byun Lihe Wang |
| Institution: | a Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea b Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA c College of Sciences, Xian Jiaotong University, Xian 710049, China |
| Abstract: | In this paper we define time dependent parabolic Reifenberg domains and study Lp estimates for weak solutions of uniformly parabolic equations in divergence form on these domains. The basic assumption is that the principal coefficients are of parabolic BMO space with small parabolic BMO seminorms. It is shown that Lp estimates hold for time dependent parabolic δ-Reifenberg domains. |
| Keywords: | primary 35R05 35R35 secondary 35J15 35J25 |
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