Abstract
We consider the linear stochastic wave equation driven by a Gaussian noise which is white in time and colored in space. We show that the solution satisfies a certain form of strong local nondeterminism and we use this property to derive the exact uniform modulus of continuity for the solution.
Citation
Cheuk Yin Lee. Yimin Xiao. "Local nondeterminism and the exact modulus of continuity for stochastic wave equation." Electron. Commun. Probab. 24 1 - 8, 2019. https://doi.org/10.1214/19-ECP264
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