$L^\infty$-estimates for parabolic systems with VMO-coefficients
Horst Heck, Matthias Hieber, Kyriakos Stavrakidis · Discrete and Continuous Dynamical Systems - S · 2010
In this paper we prove $L^\infty$-a priori estimates for parabolic evolution equations in non-divergence form on all of $\R^n$ for bounded coefficients having only vanishing mean oscillation, thus allowing in particular non continuous coefficients.