Nonlinear abstract boundary value problems modelling atmospheric dispersion of pollutants

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Date

2010

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Pergamon-elsevier Science Ltd

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Abstract

The 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.

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Boundary value problems, Differential-operator equations, Banach space-valued functions, Operator-valued multipliers, Interpolation of Banach spaces, Semigroup of operators, Atmospheric dispersion of pollutants

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Citation

24

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Q2

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Q2

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Volume

11

Issue

2

Start Page

932

End Page

951