A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians

Bibliography:

F. Cagnetti, D. Gomes, H. Mitake, and H. Tran, A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians,

Annales de l’Institut Henri Poincare. DOI 10.1016/j.anihpc.2013.10.005.

Authors:

F. Cagnetti, D. Gomes, H. Mitake, and H. Tran

Keywords:

Large-time behavior, Hamilton–Jacobi equations, Degenerate parabolic equations, Nonlinear adjoint methods, Viscosity solutions

Year:

2013

Abstract:

We introduce a new machinery to study the large time behavior for general classes of Hamilton--Jacobi type equations, which include degenerate parabolic equations and weakly coupled systems. We establish the convergence results by using the nonlinear adjoint method and identifying new long time averaging effects. These methods are robust and can easily be adapted to study the large time behavior of related problems.

ISSN:

DOI 10.1016/j.anihpc.2013.10.005.

http://www.sciencedirect.com/science/article/pii/S0294144913001303