Karoline Disser, A. F. M. Ter Elst, Joachim Rehberg
In this paper we investigate linear parabolic, second-order boundaryvalue 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 H¨older continuity of the solution in space and time
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