Support theorem for the solution of a white-noise-driven parabolic stochastic partial differential equation with temporal Poissonian jumps

Authors
Citation
N. Fournier, Support theorem for the solution of a white-noise-driven parabolic stochastic partial differential equation with temporal Poissonian jumps, BERNOULLI, 7(1), 2001, pp. 165-190
Citations number
13
Categorie Soggetti
Mathematics
Journal title
BERNOULLI
ISSN journal
13507265 → ACNP
Volume
7
Issue
1
Year of publication
2001
Pages
165 - 190
Database
ISI
SICI code
1350-7265(200102)7:1<165:STFTSO>2.0.ZU;2-O
Abstract
We study the weak solution X of a parabolic stochastic partial differential equation driven by two independent processes: a Gaussian white noise and a finite Poisson measure. We characterize the support of the law of X as the closure in D([0, T], C([0, 1])), endowed with its Skorokhod topology, of a set of weak solutions of ordinary partial differential equations.