Calculus of Variations and Geometric Measure Theory
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F. Cagnetti - D. Gomes - H. Mitake - H. V. Tran

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

created by cagnetti on 20 Dec 2012
modified on 13 Nov 2013


Accepted Paper

Inserted: 20 dec 2012
Last Updated: 13 nov 2013

Journal: Ann. Inst. H. Poincaré Anal. Non Linéaire
Year: 2012


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.


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