@article{cad9a7088c234398992337dbb3e6ace9,
title = "A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect",
abstract = "Based on a fixed point argument, we give a dynamical representation of the viscosity solution to Cauchy problem of certain weakly coupled systems of Hamilton-Jacobi equations with continuous initial datum. Using this formula, we obtain some regularity results related to the viscosity solution, including a partial extension of Lions' regularizing effect [17] to the case of weakly coupled systems.",
keywords = "Implicit variational principle, Lipschitz regularity, Viscosity solutions, Weakly coupled systems",
author = "Liang Jin and Lin Wang and Jun Yan",
note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2020",
month = feb,
day = "15",
doi = "10.1016/j.jde.2019.09.022",
language = "English",
volume = "268",
pages = "2012--2039",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "5",
}