A large deviation principle for stochastic waves
Seminar Room 1, Newton Institute
Using Budhiraja and Dupuis' approach to large deviations, we shall establish such a principle for a non-linear stochastic wave equation in spatial dimension $d=3$ driven by a noise white in time and coloured in space. Firstly, we will derive a variational representation of the noise and then we will prove suitable convergences
leading to the large deviation principle in Hölder norm.