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SUMMARY:Regularity of the Density of Stochastic Waves in all its Parameter
 s
DTSTART:20090210T111500
DTSTAMP:20260916T043957Z
UID:433ad54fb08b4261b24cc12b180300024aa5ecf01a5e9be3d6bdeac9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Marta Sanz-Solé\nWe consider the non-linear stochastic 
 wave equation in R3 driven by \nspatially homogeneous noise that is white 
 in time. We will first \ndiscuss the existence of a regular probability de
 nsity function of the \nsolution u(t\,x) at a fixed point in space-time. T
 hen\, in the case where \nthe correlation measure of the noise is a Riesz 
 kernel\, we will recall \nproperties of the sample paths of the solution o
 btained in a joint work \nwith R.C. Dalang. Finally\, we shall prove that 
 as a function of (t\,x)\, \nthe probability density function of u(t\,x) ha
 s the same regularity as \nthe trajectories.  
LOCATION:Salle MA A3 31\, EPFL-Ecublens
STATUS:CONFIRMED
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