Free Boundary Value Problems for Abstract Elliptic Equations and Applications

Citation:

Veli SHAKHMUROV.Free Boundary Value Problems for Abstract Elliptic Equations and Applications[J].Chinese Annals of Mathematics B,2011,32(5):749~770
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Authors:

Veli SHAKHMUROV;
Abstract: The free boundary value problems for elliptic differential-operator equations are studied. Several conditions for the uniform maximal regularity with respect to boundary parameters and the Fredholmness in abstract Lp-spaces are given. In application, the nonlocal free boundary problems for finite or infinite systems of elliptic and anisotropic type equations are studied.

Keywords:

Free boundary value problems, Sobolev-Lions type spaces, Differentialoperator equations, Maximal Lp regularity, Banach spaces, Operatorvalued multipliers, Interpolation of Banach spaces

Classification:

34G10, 35J25, 35R35
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