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Free Boundary Value Problems for Abstract Elliptic Equations and Applications |
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Citation: |
Veli SHAKHMUROV.Free Boundary Value Problems for Abstract Elliptic Equations and Applications[J].Chinese Annals of Mathematics B,2011,32(5):749~770 |
Page view: 1805
Net amount: 1417 |
Authors: |
Veli SHAKHMUROV; |
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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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