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2019 | OriginalPaper | Buchkapitel

Herglotz’ Generalized Variational Principle and Contact Type Hamilton-Jacobi Equations

verfasst von : Piermarco Cannarsa, Wei Cheng, Kaizhi Wang, Jun Yan

Erschienen in: Trends in Control Theory and Partial Differential Equations

Verlag: Springer International Publishing

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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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Titel: Herglotz’ Generalized Variational Principle and Contact Type Hamilton-Jacobi Equations
verfasst von: Piermarco Cannarsa
Wei Cheng
Kaizhi Wang
Jun Yan
Verlag: Springer International Publishing
Buch: Trends in Control Theory and Partial Differential Equations
Print ISBN: 978-3-030-17948-9

Electronic ISBN: 978-3-030-17949-6

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-030-17949-6_3

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