On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem
Analysis of PDEs
2018-04-17 v4
Abstract
We study the representation formulae for the fundamental solutions and viscosity solutions of the Hamilton-Jacobi equations of contact type. We also obtain a vanishing contact structure result for relevant Cauchy problems which can be regarded as an extension to the vanishing discount problem.
Keywords
Cite
@article{arxiv.1801.06088,
title = {On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem},
author = {Kai Zhao and Wei Cheng},
journal= {arXiv preprint arXiv:1801.06088},
year = {2018}
}