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Free Boundary Value Problems for Abstract Elliptic Equations and Applications
Authors:Veli SHAKHMUROV
Institution:Department of Electronics Engineering and Communication, Okan University, Akfirat, Tuzla 34959 Istanbul, Turkey
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 L p -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
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