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most citedThe vanishing discount problem and viscosity Mather measures. Part 1: the problem on a torus

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math.AP2010★ 13 cited

Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions

Hitoshi Ishii

We study the long-time asymptotic behavior of solutions u of the Hamilton-Jacobi equation u_t(x,t)+H(x,Du(x,t))=0 in Ω\times (0,\infty), where Ωis a bounded open subset of R^n, wit…