Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable

Qiaoling Wei

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arXiv · 1303.3232

Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable

Qiaoling Wei

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Abstract

The viscosity solution of the Hamilton-Jacobi equation was constructed by an "iterated minimax" procedure. Using Dafermos' front tracking method, we give another proof of this construction in the case of Hamilton-Jacobi equations in one space dimension. This allows us to get a better understanding in this case of the singularities of the viscosity solution.

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Qiaoling Wei. 2013-03-13. Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable. https://arxiv.org/abs/1303.3232

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