Nonlinear Dirichlet problem of non-local branching processes
Probability
2024-10-23 v1 Analysis of PDEs
Abstract
We present a method of solving a nonlinear Dirichlet problem with discontinuous boundary data and we give a probabilistic representation of the solution using the nonlocal branching process associated with the nonlinear term of the operator. Instead of the pointwise convergence of the solution to the given boundary data we use the controlled convergence which allows to have discontinuities at the boundary.
Cite
@article{arxiv.2410.16988,
title = {Nonlinear Dirichlet problem of non-local branching processes},
author = {Lucian Beznea and Oana Lupascu-Stamate and Alexandra Teodor},
journal= {arXiv preprint arXiv:2410.16988},
year = {2024}
}
Comments
18 pages