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arXiv · 1312.1045

On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations

Andrea Davini·Maxime Zavidovique
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Abstract

We prove that the multi-time Hamilton-Jacobi equation in general cannot be solved in the viscosity sense, in the non-convex setting, even when the Hamiltonians are in involution.

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Andrea Davini, Maxime Zavidovique. 2013-12-04. On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations. https://doi.org/10.1016/j.jde.2014.09.015

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