Shakhmurov, Veli B.2024-05-252024-05-2520150139-99181337-221110.1515/ms-2015-00962-s2.0-84958793720https://doi.org/10.1515/ms-2015-0096https://hdl.handle.net/20.500.14517/314The boundary value problems for linear and nonlinear singular degenerate differential-operator equations with variable coefficients are studied. Degenerate linear problems are considered on the moving domain. The uniform maximal regularity properties of the singular degenerate linear problem with parameters and the existence and uniqueness result for the degenerate nonlinear problem is shown. This problem occur in fluid mechanics and environmental engineering. (C) 2015 Mathematical Institute Slovak Academy of Scienceseninfo:eu-repo/semantics/closedAccessdifferential-operator equationsdegenerate equationssemigroups of operatorsBanach-valued function spacesmaximal regularityoperator-valued Fourier multipliersArticleQ1Q265614031426WOS:0003721993000131