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SUMMARY:Regularity of the Density of Stochastic Waves in all its Parameter
 s
DTSTART:20090210T111500
DTSTAMP:20260916T201405Z
UID:c0efe476b3dafef7d31862728a1ebc3f1755f9f23df79dc0a29b8e90
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Marta Sanz-Solé\nWe consider the non-linear stochastic 
 wave equation in R3 driven by spatially homogeneous noise that is white in
  time. We will first discuss the existence of a regular probability densit
 y function of the solution u(t\,x) at a fixed point in space-time. Then\, 
 in the case where the correlation measure of the noise is a Riesz kernel\,
  we will recall properties of the sample paths of the solution obtained in
  a joint work with R.C. Dalang. Finally\, we shall prove that as a functio
 n of (t\,x)\, the probability density function of u(t\,x) has the same reg
 ularity as the trajectories.
LOCATION:Salle MA A3 31\, EPFL-Ecublens
STATUS:CONFIRMED
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