Shakhmurov, Veli B.Shahmurova, Aida2024-05-252024-05-252010241468-121810.1016/j.nonrwa.2009.01.0372-s2.0-70449641482https://doi.org/10.1016/j.nonrwa.2009.01.037https://hdl.handle.net/20.500.14517/691The boundary value problems for linear and nonlinear degenerate elliptic differential-operator equations of a second order are studied. The principal parts of these problems possess variable coefficients and corresponding differential operators are non-self-adjoint. Several conditions for the separability, R-positivity and the fredholmness in abstract L-p-spaces are given. By using these results the existence, uniqueness and the maximal regularity of boundary value problems for nonlinear degenerate parabolic differential-operator equations are established. In applications mixed boundary value problems for degenerate diffusion systems, appearing in the atmospheric dispersion of pollutants are studied. (C) 2009 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessBoundary value problemsDifferential-operator equationsBanach space-valued functionsOperator-valued multipliersInterpolation of Banach spacesSemigroup of operatorsAtmospheric dispersion of pollutantsNonlinear abstract boundary value problems modelling atmospheric dispersion of pollutantsArticleQ2Q2112932951WOS:000273101100032