Generalized Morrey Regularity For Parabolic Equations With Discontinuous Data
Abstract
We prove continuity in generalized parabolic Morrey spaces M-p,M-phi of sublinear operators generated by the parabolic Calderon-Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions. As a consequence, we obtain a global M-p,M-phi-regularity result for the Cauchy-Dirichlet problem for linear uniformly parabolic equations with vanishing mean oscillation (VMO) coefficients.
Source
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETYVolume
58Issue
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