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