arXiv Analytics

Sign in

arXiv:2304.12452 [math.AP]AbstractReferencesReviewsResources

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

Othmane Islah

Published 2023-04-24Version 1

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.

Categories: math.AP, math.DS
Related articles: Most relevant | Search more
arXiv:1303.3232 [math.AP] (Published 2013-03-13)
Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable
arXiv:1904.01359 [math.AP] (Published 2019-04-02)
On the Homogenization of the Hamilton-Jacobi Equation
arXiv:1710.07762 [math.AP] (Published 2017-10-21)
Ill-posedness for the Hamilton-Jacobi equation in Besov spaces $B^0_{\infty,q}$

Links

Toolbox