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

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Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1212.4694
Source
arXiv
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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.

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