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

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

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 aver...

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Bibliographic Details
Main Authors: Cagnetti, Filippo, Gomes, Diogo, Mitake, Hiroyoshi, Tran, Hung
Format: Journal Article
Language:English
Published: 19-12-2012
Subjects:
Mathematics - Analysis of PDEs
Online Access:Get full text
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Summary: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.
DOI:10.48550/arxiv.1212.4694