Cagnetti, Filippo, Gomes, Diogo, Mitake, Hiroyoshi and Tran, Hung V (2015) A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians. Annales de l'Institut Henri Poincaré (C) Analyse Non Lineaire, 32 (1). pp. 183-200. ISSN 0294-1449
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Abstract
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.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics |
Depositing User: | Filippo Cagnetti |
Date Deposited: | 20 Oct 2014 06:16 |
Last Modified: | 28 Jan 2018 11:19 |
URI: | http://srodev.sussex.ac.uk/id/eprint/50648 |
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