Shakhmurov, Veli B.2024-05-252024-05-25201140096-30031873-564910.1016/j.amc.2011.03.0872-s2.0-80052263534https://doi.org/10.1016/j.amc.2011.03.087https://hdl.handle.net/20.500.14517/553This 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 L-p spaces. Moreover, discreetness of spectrum and completeness of root elements of this operator is obtained. (C) 2011 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessDifferential equations with VMO coefficientsSemigroups of operatorsBoundary value problemsDifferential-operator equationsMaximal L-p regularityArticleQ1Q1218310571062WOS:000294298400076