Restriction of viscosity solutions of the Hamilton-Jacobi equation to a submanifold M of \mathbb{R}^{d}

Othmane Islah

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arXiv · 2304.12452

Restriction of viscosity solutions of the Hamilton-Jacobi equation to a submanifold M of \mathbb{R}^{d}

Othmane Islah

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Abstract

We show in this article in what sense viscosity solutions of the Hamilton-Jacobi equation can be restricted to a submanifold M of \mathbb{R}^{d}. We treat in this article the case of M\times\mathbb{R}^{d} being invariant by the Hamiltonian vector field.

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Othmane Islah. 2023-04-24. Restriction of viscosity solutions of the Hamilton-Jacobi equation to a submanifold M of \mathbb{R}^{d}. https://arxiv.org/abs/2304.12452

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