arXiv:1203.3921 Abstract | arXiv Analytics

arXiv:1203.3921 [math.PR]Abstract References Reviews Resources

Hitting times for the stochastic wave equation with fractional-colored noise

Published 2012-03-18Version 1

We give sharp regularity results for the solution to the stochastic wave equation with linear fractional-colored noise. We apply these results in order to establish upper and lower bound for the hitting probabilities of the solution in terms of the Hausdorff measure and of the Newtonian capacity.

Categories: math.PR

Keywords: stochastic wave equation, hitting times, sharp regularity results, hausdorff measure, newtonian capacity

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