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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
