Abstract

In this paper,we firstly study the regularity of solutions of hyperbolic stochastic partial differential equations by proving that they almost surely belong to the anisotropic Besov–Orlicz space corresponding to the Young function M2(t)= exp (t 2) - 1. Secondly, we establish a large deviation principle in this space for the law of the solutions which generalizes the result in Eddahbi [16] dealing with the Höder topology, weaker than the Besov-Orlicz topology the Strassen's iterated logarithm law for the Brownian sheet obtained in N’zi [29].

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