Singular degenerate problems occurring in biosorption process

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2013

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Springeropen

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Abstract

The boundary value problems for singular degenerate arbitrary order differential-operator equations with variable coefficients are considered. The uniform coercivity properties of ordinary and partial differential equations with small parameters are derived in abstract spaces. It is shown that corresponding differential operators are positive and also are generators of analytic semigroups. In application, well-posedeness of the Cauchy problem for an abstract parabolic equation and systems of parabolic equations are studied in mixed spaces. These problems occur in fluid mechanics and environmental engineering. MSC: 34G10, 35J25, 35J70.

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differential-operator equations, degenerate equations, semigroups of operators, Banach-valued function spaces, coercive problems, operator-valued Fourier multipliers, interpolation of Banach spaces

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