(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Disser, Karoline; Rehberg, Joachim; Elst, A.F.M. ter
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.
(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) ter Elst, A.F.M.; Rehberg, Joachim
In this paper we investigate linear elliptic, second-order boundary
value problems with mixed boundary conditions. Assuming only
boundedness/ellipticity on the coefficient function and very mild conditions
on the geometry of the domain
