Hölder-estimates for non-autonomous parabolic problems with rough data
Hannes Meinlschmidt, Joachim Rehberg · Evolution equations and control theory · 2016
In this paper we establish Hölder estimates for solutions to nonautonomous parabolic equations on non-smooth domains which are complemented with mixed boundary conditions. The corresponding elliptic operators are of divergence type, the coefficient matrix of which depends only measurably on time. These results are in the tradition of the classical book of Ladyshenskaya et al. [40], which also serves as the starting point for our investigations.