Linear and nonlinear degenerate differential operators and applications

The boundary value and mixed value problems for linear and nonlinear singular degenerate abstract elliptic and parabolic equations are studied. The linear problems involve some parameters. The uniform Lp- separability properties of linear problems and the optimal regularity results for nonlinear pro...

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Veröffentlicht in:Nonlinear analysis 2020-02, Vol.191, p.111633, Article 111633
1. Verfasser: Shakhmurov, Veli B.
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description The boundary value and mixed value problems for linear and nonlinear singular degenerate abstract elliptic and parabolic equations are studied. The linear problems involve some parameters. The uniform Lp- separability properties of linear problems and the optimal regularity results for nonlinear problems are obtained. The equations include linear operators defined in Banach spaces, in which by choosing the spaces and operators we can obtain numerous classes of problems for singular degenerate differential equations which occur in a wide variety of physical systems.
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source ScienceDirect Journals (5 years ago - present)
subjects Banach spaces
Banach-valued function spaces
Boundary value problems
Differential equations
Differential-operator equations
Elliptic functions
Linear operators
Mathematical analysis
Maximal regularity properties of differential operators
Nonlinear abstract equations
Operators (mathematics)
Semigroups of operators
title Linear and nonlinear degenerate differential operators and applications
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