SEPARABLE DIFFERENTIAL OPERATORS AND APPLICATIONS

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Date

2016

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independent Univ Moscow-ium

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Abstract

The nonlocal boundary value problems for degenerate differential -operator equations with variable coefficients are studied. The Lp separability properties of elliptic problems and well-posedeness of parabolic problems in mixed LP spaces are derived. Then by using the regularity properties of linear problems, the existence and uniqueness of solution of nonlinear elliptic problem is obtained. Note that applications of these problems can be models of different physics process.

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Abstract harmonic analysis, differential-operator equations, degenerate PDE, semigroups of operators, Sobolev-Lions spaces, separable differential operators

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4

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Q2

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Volume

16

Issue

2

Start Page

299

End Page

321