Shakhmurov, V. B.2024-05-252024-05-2520110236-52941588-263210.1007/s10474-011-0081-72-s2.0-79953770231https://doi.org/10.1007/s10474-011-0081-7https://hdl.handle.net/20.500.14517/538This paper focuses on boundary value problems for anisotropic differential-operator equations of high order with variable coefficients in the half plane. Several conditions are obtained which guarantee the maximal regularity of anisotropic elliptic and parabolic problems in Banach-valued L (p) -spaces. Especially, it is shown that this differential operator is R-positive and is a generator of an analytic semigroup. These results are also applied to infinite systems of anisotropic type partial differential equations in the half plane.eninfo:eu-repo/semantics/closedAccesspositive operatorboundary value problemdifferential-operator equationBanach-valued function spaceoperator-valued multiplierinterpolation of Banach spacessemigroup of operatorsArticle5