Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154913We study an asymptotic behaviour of the principal eigenvalue for an elliptic operator with large advection which is given by a gradient of a potential function. It is shown that the principal eigenvalue decays exponentially under the velocity potential well condition as the parameter tends to infinity.25 pages, 24 figuresAnalysis of PDEs47A75 (Primary); 35B25 (Secondary)Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient typetext