NONLOCAL ELLIPTIC PROBLEMS AND APPLICATIONS
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Date
2020
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Publisher
independent Univ Moscow-ium
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Abstract
In this paper, the integral boundary value problems for differential-operator equations with principal variable coefficients are studied. Several conditions for the L-p-separability are given. Moreover, the sharp coercive estimates for resolvents of corresponding differential operators are shown. It is implied that these operators are positive and also are generators of analytic semigroups. Then, the existence and uniqueness of maximal regular solution to nonlinear abstract elliptic equations is derived. In application, maximal regularity properties of the abstract parabolic equation with variable coefficients and systems of elliptic equations are derived in mixed L-p-spaces.
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Keywords
Separable boundary value problems, equations with variable coefficients, differential-operator equation, nonlinear abstract differential equations, Abstract Sobolev spaces, well-posedness of parabolic problems
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0
WoS Q
Q3
Scopus Q
Q2
Source
Volume
20
Issue
1
Start Page
185
End Page
210