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malliavin calculus. stochastic partial differentialequations. two-parameter processes.

ESAIM: Probability and Statistics (1)

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Probability density for a hyperbolic SPDEwith time dependent coefficients
Marta Sanz-Solé, Iván Torrecilla-Tarantino
Journal:

ESAIM: Probability and Statistics / Volume 11 / June 2007

Published online by Cambridge University Press:

17 August 2007, pp. 365-380

Print publication:

June 2007
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We prove the existence and smoothness of density for the solutionof a hyperbolic SPDE with free term coefficients depending ontime, under hypoelliptic non degeneracy conditions. The resultextends those proved in Cattiaux and Mesnager, PTRF123 (2002) 453-483 to an infinite dimensionalsetting.