Quasilinear stochastic elliptic equations with reflection: The existence of a density
type: Item
instance of: scholarly article
title: Quasilinear stochastic elliptic equations with reflection: The existence of a density
zbMATH Open document ID: 0921.60043
DOI: 10.2307/3318660
author: S. Tindel
published in: Bernoulli
publication date: 1999-09-29T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bj/1173883815
review text: It is shown that the law of the solution of an elliptic stochastic partial differential equation with additive white noise reflected at zero is absolutely continuous with respect to Lebesgue measure. The proof requires the Malliavin calculus, some methods of variational inequalities and ordinary partial differential equations driven by measure data. Preliminary matter on these methods is provided.
Mathematics Subject Classification ID: 60H07
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 1275539
zbMATH Keywords: stochastic partial differential equations
zbMATH Keywords: Malliavin calculus
zbMATH Keywords: variational inequalities
reviewed by: Andrew Dale
MaRDI profile type: Publication
OpenAlex ID: W1972375590
description: scientific article; zbMATH DE number 1275539