Calculus of Variations and Geometric Measure Theory

A. Davini - M. Zavidovique

On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations

created by davini on 12 Jul 2023
modified on 13 Jul 2023


Published Paper

Inserted: 12 jul 2023
Last Updated: 13 jul 2023

Journal: J. Differential Equations
Volume: 258
Number: 2
Pages: 362–378
Year: 2015

ArXiv: 1312.1045 PDF


We prove that the multi-time Hamilton-Jacobi equation in general cannot be solved in the viscosity sense, in the non-convex setting, even when the Hamiltonians are in involution.