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arXiv · 1904.10734

Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions

Ferenc Izsák·Gábor Maros
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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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Ferenc Izsák, Gábor Maros. 2019-04-24. Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions. https://doi.org/10.1515/fca-2020-0018

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