Vanishing viscosity limits for space-time periodicHamilton-Jacobi equations

Eddaly Guerra; Héctor Sánchez-Morgado

doi:10.3934/cpaa.2014.13.331

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2014, Volume 13, Issue 1: 331-346. Doi: 10.3934/cpaa.2014.13.331

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Vanishing viscosity limits for space-time periodic Hamilton-Jacobi equations

Eddaly Guerra^1, and
Héctor Sánchez-Morgado^1,

1.
Instituto de Matemáticas, Universidad Nacional Autónoma de México, México DF 04510

Received: December 31, 2012

Revised: April 30, 2013

Published: December 2013

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Abstract

Extending previuos results ([16, 1, 7]), we study the vanishing viscosity limit of solutions of space-time periodic Hamilton-Jacobi-Belllman equations, assuming that the ``Aubry set'' is the union of a finite number of hyperbolic periodic orbits of the Hamiltonian flow.

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Mathematics Subject Classification: Primary: 37J50, 49L25; Secondary: 70H20.

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