SINGULAR DEGENERATE DIFFERENTIAL OPERATORS AND APPLICATIONS

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Date

2015

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Walter de Gruyter Gmbh

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Abstract

The 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 Sciences

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Keywords

differential-operator equations, degenerate equations, semigroups of operators, Banach-valued function spaces, maximal regularity, operator-valued Fourier multipliers

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1

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Volume

65

Issue

6

Start Page

1403

End Page

1426