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On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem

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Publication:2000163
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DOI10.3934/dcds.2019176zbMath1461.35103arXiv1801.06088OpenAlexW2963679840MaRDI QIDQ2000163

Wei Cheng, Kai Zhao

Publication date: 28 June 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06088

zbMATH Keywords

vanishing contact structurevanishing discount problem.


Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)


Related Items

Representation formulas for contact type Hamilton-Jacobi equations, Herglotz' variational principle and Lax-Oleinik evolution, Aubry-Mather theory for contact Hamiltonian systems, Lasry-Lions approximations for discounted Hamilton-Jacobi equations, A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect, Aubry-Mather theory for contact Hamiltonian systems. II



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