Well-posedness for a transmission problem connecting first and second-order operators
Analysis of PDEs
2023-05-31 v1
Abstract
We establish the existence and uniqueness of viscosity solutions within a domain for a class of equations governed by elliptic and eikonal type equations in disjoint regions. Our primary motivation stems from the Hamilton-Jacobi equation that arises in the context of a stochastic optimal control problem.
Keywords
Cite
@article{arxiv.2305.18659,
title = {Well-posedness for a transmission problem connecting first and second-order operators},
author = {Héctor A. Chang-Lara},
journal= {arXiv preprint arXiv:2305.18659},
year = {2023}
}