Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection
Analysis of PDEs
2024-11-26 v3
Abstract
We study the Dirichlet problem for semilinear equations on general open sets with measure data on the right-hand side and irregular boundary data. For this purpose we develop the classical method of orthogonal projection. We treat in a unified form equations with operators belonging to the broad class of integro-differential operators associated with symmetric regular Dirichlet forms.
Cite
@article{arxiv.2304.00393,
title = {Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection},
author = {Tomasz Klimsiak and Andrzej Rozkosz},
journal= {arXiv preprint arXiv:2304.00393},
year = {2024}
}