Shakhmurov, Veli B.Bohner, Martin J.2024-10-152024-10-1520161609-33211609-45140971-35141588-26320974-68700236-529410.1007/s10474-011-0081-72-s2.0-85088826515https://hdl.handle.net/20.500.14517/6634https://doi.org/10.1007/s12591-020-00542-8https://doi.org/10.17323/1609-4514-2016-16-2-299-321https://doi.org/10.1007/s10474-011-0081-7The nonlocal boundary value problems for degenerate differential -operator equations with variable coefficients are studied. The Lp separability properties of elliptic problems and well-posedeness of parabolic problems in mixed LP spaces are derived. Then by using the regularity properties of linear problems, the existence and uniqueness of solution of nonlinear elliptic problem is obtained. Note that applications of these problems can be models of different physics process.eninfo:eu-repo/semantics/closedAccessAbstract harmonic analysisdifferential-operator equationsdegenerate PDEsemigroups of operatorsSobolev-Lions spacesseparable differential operatorsOperator-Valued MultipliersWentzell-Robin ConditionDifferential-Operator EquationBoundary Value ProblemsBoundary Value ProblemBanach-Valued Function SpacesOperator-Valued MultiplierBanach-Valued Function SpacePositive OperatorSemigroup of OperatorsInterpolation of Banach SpacesWentzell–Robin ConditionArticle4