We investigate large-time asymptotics for viscous Hamilton-Jacobi equations with possibly degenerate diffusion terms. We establish new results on the convergence, which are the first general ones concerning equations which are neither uniformly parabolic nor first order. Our method is based on the nonlinear adjoint method and the derivation of new estimates on long time averaging effects. It also extends to the case of weakly coupled systems.
|Original language||English (US)|
|Number of pages||18|
|Journal||Annales de l'Institut Henri Poincare (C) Non Linear Analysis|
|State||Published - Jan 2015|
ASJC Scopus subject areas
- Mathematical Physics