Hölder estimates for parabolic operators on domains with rough boundary
نویسندگان
چکیده
In this paper we investigate linear parabolic, second-order boundary value problems with mixed boundary conditions on rough domains. Assuming only boundedness/ellipticity on the coefficient function and very mild conditions on the geometry of the domain – including a very weak compatibility condition between the Dirichlet boundary part and its complement – we prove Hölder continuity of the solution in space and time.
منابع مشابه
Hölder-estimates for non-autonomous parabolic problems with rough data
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