Loading...
conference paper
Hypoellipticity in infinite dimensions
Ruzhansky, Michael
•
Wirth, Jens
July 2010
Progress in Analysis and Its Applications
We consider semilinear parabolic stochastic PDEs driven by additive noise. The question addressed in this note is that of the regularity of transition probabilities. If the equation satisfies a Hörmander 'bracket condition', then any finite-dimensional projection of the solution has a smooth density with respect to Lebesgue measure. One key ingredient in the argument is a bound on 'Wiener polynomials' that plays a role analogue to Norris' lemma.
Loading...
Name
0910.0315v1.pdf
Type
main document
Access type
openaccess
License Condition
N/A
Size
114.1 KB
Format
Adobe PDF
Checksum (MD5)
7ae58ffdca9bd6659aa13dba9029eff3