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• W1997026780 abstract "We pursue the investigation started in a recent paper by Millet and Sanz-Solé (1999, Ann. Probab. 27, 803–844) concerning a non-linear wave equation driven by a Gaussian white noise in time and correlated in the two-dimensional space variable. Under more restrictive conditions on the covariance function of the noise, we prove Hölder-regularity properties for both the solution and its density. For the latter, we adapt the method used in a paper by Morien (1999, Bernoulli: Official J. Bernoulli Soc. 5(2), 275–298) based on the Malliavin calculus." @default.
• W1997026780 created "2016-06-24" @default.
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• W1997026780 date "2000-03-01" @default.
• W1997026780 modified "2023-10-16" @default.
• W1997026780 title "On a stochastic wave equation in two space dimensions: regularity of the solution and its density" @default.
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• W1997026780 doi "https://doi.org/10.1016/s0304-4149(99)00090-3" @default.
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