Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions
Analysis of PDEs
2020-05-15 v2
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.
Cite
@article{arxiv.1904.10734,
title = {Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions},
author = {Ferenc Izsák and Gábor Maros},
journal= {arXiv preprint arXiv:1904.10734},
year = {2020}
}