Weakly coupled systems of parabolic Hamilton–Jacobi equations with Caputo time derivative

Abstract:

In this paper we prove existence and uniqueness of bounded viscosity solutions of weakly coupled systems of parabolic Hamilton–Jacobi equations with nonlocal ingbkp_redients, where the time evolution of each equation is driven by Caputo derivatives of different orders. As an application, we present steady-state large time behavior for the system in the case the stationary equation has uniqueness.

Año de publicación:

2018

Keywords:

• Viscosity solutions
• Comparison principles
• Caputo derivative
• Large time behavior

Fuente:

scopus