Approximation and support theorem for a wave equation in two space dimensions
type: Item
instance of: scholarly article
title: Approximation and support theorem for a wave equation in two space dimensions
zbMATH Open document ID: 0968.60059
DOI: 10.2307/3318761
author: Annie Millet
author: Marta Sanz-Solé
published in: Bernoulli
publication date: 2001-09-11T00:00:00Z
full work available at URL: http://hdl.handle.net/2445/23388
review text: It is proved a characterization of the topological support of the law induced by a solution for a stochastic wave equation with two-dimensional space variable and driven by a noise, white in time and correlated in space. There are studied: 1. approximation theorems and convergence in probability, 2. equations obtained by smoothing the random noise, 3. approximations in the \(L^p\)-norm, \(p\geq 1\), for some particular classes of coefficients. The paper is recommended to those working in the field of partial differential equations with stochastic perturbations.
reviewed by: Constantin Vârsan
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 1547287
zbMATH Keywords: stochastic partial differential equations
zbMATH Keywords: approximations
zbMATH Keywords: support theorem
MaRDI profile type: Publication
OpenAlex ID: W2055064827
description: scientific article; zbMATH DE number 1547287