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arXiv · 1804.03411

Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations

Piermarco Cannarsa·Wei Cheng·Kaizhi Wang·Jun Yan
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Abstract

We develop an approach for the analysis of fundamental solutions to Hamilton-Jacobi equations of contact type based on a generalized variational principle proposed by Gustav Herglotz. We also give a quantitative Lipschitz estimate on the associated minimizers.

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Piermarco Cannarsa, Wei Cheng, Kaizhi Wang, Jun Yan. 2018-04-10. Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations. https://arxiv.org/abs/1804.03411

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