Smoluchowski–Kramers approximation and large deviations for infinite-dimensional nongradient systems with applications to the exit problem
نویسندگان
چکیده
منابع مشابه
Smoluchowski–kramers Approximation and Large Deviations for Infinite-dimensional Nongradient Systems with Applications to the Exit Problem1 by Sandra Cerrai
In this paper, we study the quasi-potential for a general class of damped semilinear stochastic wave equations. We show that as the density of the mass converges to zero, the infimum of the quasi-potential with respect to all possible velocities converges to the quasi-potential of the corresponding stochastic heat equation, that one obtains from the zero mass limit. This shows in particular tha...
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 Autobiographical Statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2016
ISSN: 0091-1798
DOI: 10.1214/15-aop1029