TIME PERIODIC VISCOSITY SOLUTIONS OF
Hamilton-Jacobi Equations, Mihaï Bostan, Gawtum Namah · 2007
This paper discusses viscosity solutions of general Hamilton-Jacobi equations in the time periodic case. Existence results are presented under usual hypotheses. The main idea is to reduce the study of time periodic problems to the study of stationary problems obtained by averaging the source term over a period. These results hold also for almost-periodic viscosity solutions.