Semilinear Dirichlet problem for subordinate spectral Laplacian
Analysis of PDEs
2022-12-07 v2 Probability
Abstract
We study semilinear problems in bounded domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian. We also study harmonic functions with respect to the non-local operator and boundary behaviour of Green and Poisson potentials.
Cite
@article{arxiv.2206.08552,
title = {Semilinear Dirichlet problem for subordinate spectral Laplacian},
author = {Ivan Biocic},
journal= {arXiv preprint arXiv:2206.08552},
year = {2022}
}
Comments
54 pages, some typos correted, to appear in Communications on Pure and Applied Analysis