Shakhmurov, V. B.2024-10-152024-10-15201202146-1147[WOS-DOI-BELIRLENECEK-244]https://hdl.handle.net/20.500.14517/6475Dirichlet problem for parameter depended elliptic differential-operator equation with variable coefficients in smooth domains is studied. The uniform maximal regularity, Fredholmness and the positivity of this problem in vector-valued Lp-spaces are obtained. It is proven that the corresponding differential operator is positive and is a generator of an analytic semigroup. In application, the maximal regularity properties of Cauchy problem for abstract parabolic equation and anisotropic elliptic equations with small parameters are established.eninfo:eu-repo/semantics/closedAccessBoundary value problemsdifferential-operator equationsBanach-valued function spacesoperator-valued multipliersinterpolation of Banach spacessemigroup of operatorsArticleQ4211934WOS:000218992700003