On a general approach to Freidlin-Wentzell exit problems for stochastic equations in Banach spaces

Michael Salins

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arXiv · 1410.0225

On a general approach to Freidlin-Wentzell exit problems for stochastic equations in Banach spaces

Michael Salins

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Abstract

Freidlin and Wentzell characterized the logarithmic asymptotics of the exit time from a basin of attraction for a finite dimensional diffusion with small noise. After that, several authors studied the same properties for exit problems associated to specific infinite dimensional system. In this paper, we present a general method, based a control theoretic approach, to establish exit time and exit place results for a large class of stochastic equations in Banach spaces.

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Michael Salins. 2015-05-12. On a general approach to Freidlin-Wentzell exit problems for stochastic equations in Banach spaces. https://arxiv.org/abs/1410.0225

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