In this paper we study singular perturbations of weakly coupled systems of elliptic equations. A model problem is given by small random perturbations of random evolution processes. In this setting we give a PDE proof of large deviation results, analogous to those studied in Ann. Probab. 15 (1987), 646-658, Stochastics Stochastics Rep. 33 (1990), 111-148, Probab. Theory Related Fields 94 (1993), 335-374. An essential tool in our approach is the weak KAM theory introduced in Calc. Var. Partial Differential Equations 22 (2005), 185-228.

Singular perturbations of weakly coupled systems of Hamilton-Jacobi equations / Camilli, Fabio; A., Cesaroni. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 65:(2009), pp. 125-146. [10.3233/asy-2009-0944]

Singular perturbations of weakly coupled systems of Hamilton-Jacobi equations

CAMILLI, FABIO;
2009

Abstract

In this paper we study singular perturbations of weakly coupled systems of elliptic equations. A model problem is given by small random perturbations of random evolution processes. In this setting we give a PDE proof of large deviation results, analogous to those studied in Ann. Probab. 15 (1987), 646-658, Stochastics Stochastics Rep. 33 (1990), 111-148, Probab. Theory Related Fields 94 (1993), 335-374. An essential tool in our approach is the weak KAM theory introduced in Calc. Var. Partial Differential Equations 22 (2005), 185-228.
2009
large deviations; hamilton-jacobi equations; viscosity solutions; random evolution process; large deviation; weakly coupled systems; weakly coupled system
01 Pubblicazione su rivista::01a Articolo in rivista
Singular perturbations of weakly coupled systems of Hamilton-Jacobi equations / Camilli, Fabio; A., Cesaroni. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 65:(2009), pp. 125-146. [10.3233/asy-2009-0944]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/43951
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