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arXiv · 1303.3219

Viscosity solution of Hamilton-Jacobi equation by a limiting minmax method

Qiaoling Wei
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Abstract

For non convex Hamiltonians, the viscosity solution and the more geometric minimax solution of the Hamilton-Jacobi equation do not coincide in general. They are nevertheless related: we show that iterating the minimax procedure during shorter and shorter time intervals one recovers the viscosity solution.

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Qiaoling Wei. 2013-10-31. Viscosity solution of Hamilton-Jacobi equation by a limiting minmax method. https://doi.org/10.1088/0951-7715%2F27%2F1%2F17

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