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math.AP2018★ 2 cited
On the Uniqueness for One-Dimensional Constrained Hamilton-Jacobi Equations
Yeoneung Kim
The goal of this paper is to study uniqueness of a one-dimensional Hamilton-Jacobi equation \begin{equation*} \begin{cases} u_t=|u_x|^2+R(x,I(t)) &\text{in }\mathbb{R} \times (0,\i…
math.AP2018
Well-posedness for constrained Hamilton-Jacobi equations
Yeoneung Kim
The goal of this paper is to study a Hamilton-Jacobi equation \begin{equation*} \begin{cases} u_t=H(Du)+R(x,I(t)) &\text{in }\mathbb{R}^n \times (0,\infty), \sup_{\mathbb{R}^n} u(\…