Anisotropic elliptic equations with VMO coefficients

摘要

This paper presents the study of maximal regularity properties for anisotropic differential-operator equations with VMO (vanishing mean oscillation) coefficients. We prove that the corresponding differential operator is separable and is a generator of analytic semigroup in vector-valued Lp spaces. Moreover, discreetness of spectrum and completeness of root elements of this operator is obtained.