Separable differential operators and applications
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Date
2016
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Publisher
Independent University of Moscow
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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. © 2016 Independent University of Moscow.
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Keywords
Abstract harmonic analysis, Degenerate PDE, Differential-operator equations, Semigroups of operators, Separable differential operators, Sobolev-lions spaces
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5
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Q3
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Q2
Source
Moscow Mathematical Journal
Volume
16
Issue
2
Start Page
299
End Page
321