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arXiv · 2101.09879

Finite-time convergence of solutions of Hamilton-Jacobi equations

Kaizhi Wang·Jun Yan·Kai Zhao
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Abstract

Suppose that $H(x,u,p)$ is strictly decreasing in $u$ and satisfies Tonelli conditions in $p$. We show that each viscosity solution of $H(x,u,u_x)=0$ can be reached by many viscosity solutions of $$ w_t+H(x,w,w_x)=0, $$ in a finite time.

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Kaizhi Wang, Jun Yan, Kai Zhao. 2021-01-25. Finite-time convergence of solutions of Hamilton-Jacobi equations. https://arxiv.org/abs/2101.09879

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