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Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions (1904.10734v2)
Published 24 Apr 2019 in math.AP
Abstract: Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model. The corresponding theory is completed by sharpening the mapping properties of the corresponding potential operators. Also a mild condition is provided to ensure the existence of the classical solution of the boundary integral equation.
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