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arXiv · 2305.18659

Well-posedness for a transmission problem connecting first and second-order operators

Héctor A. Chang-Lara
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Abstract

We establish the existence and uniqueness of viscosity solutions within a domain $\Omega\subseteq\mathbb R^n$ 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.

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Héctor A. Chang-Lara. 2023-05-29. Well-posedness for a transmission problem connecting first and second-order operators. https://arxiv.org/abs/2305.18659

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