On the convergence of singular perturbations of Hamilton-Jacobi equations
Claudio Marchi - Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Trieste 63, 35121 Padova, Italy (email)
This paper is devoted to singular perturbation problems for first order equations.
Under some coercivity and periodicity assumptions, we establish the uniform convergence and we provide an estimate of the rate of convergence, which we consider the main result of the paper.
Keywords: Singular perturbations, viscosity solutions, Hamilton-Jacobi equations,
ergodicity, homogenization, rate of convergence.
Received: September 2009; Revised: December 2009; Published: May 2010.
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