Quasilinear stochastic elliptic equations with reflection: the existence of a density

Authors
Citation
S. Tindel, Quasilinear stochastic elliptic equations with reflection: the existence of a density, BERNOULLI, 4(4), 1998, pp. 445-459
Citations number
15
Categorie Soggetti
Mathematics
Journal title
BERNOULLI
ISSN journal
13507265 → ACNP
Volume
4
Issue
4
Year of publication
1998
Pages
445 - 459
Database
ISI
SICI code
1350-7265(199812)4:4<445:QSEEWR>2.0.ZU;2-M
Abstract
In this paper we prove the absolute continuity of the law of the solution t o an elliptic stochastic partial differential equation with an additive whi te noise reflected at zero. The proof is based on Malliavin's calculus tool s; and some methods of variational inequalities and ordinary partial differ ential equations driven by measure data.