Second-order linear hyperbolic SPDEs driven by isotropic Gaussian noise on a sphere.
type: Item
instance of: scholarly article
title: Second-order linear hyperbolic SPDEs driven by isotropic Gaussian noise on a sphere.
zbMATH Open document ID: 1046.60058
author: Robert C. Dalang
author: Olivier Lévêque
published in: The Annals of Probability
publication date: 2004-09-15T00:00:00Z
review text: The authors consider linear hyperbolic stochastic partial differential equations in bounded domains, driven by Gaussian noise that is white in time but not in space. The wave equation and the telegraph equation are immediate particular cases.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60G15
zbMATH DE Number: 2100742
zbMATH Keywords: stochastic partial differential equations
zbMATH Keywords: isotropic Gaussian noise
zbMATH Keywords: hyperbolic equations
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1079021472
OpenAlex ID: W2043712399
cites work: Q5558293
cites work: Q4073917
cites work: Stochastic partial differential equations with Dirichlet white-noise boundary conditions
cites work: Uniform upper and lower bounds on the zeros of Bessel functions of the first kind
cites work: Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
cites work: Corrections to: Extending the martingale measure stochastic integral with applications to spatially homogeneous s. p. d. e. 's
cites work: The stochastic wave equation in two spatial dimensions
cites work: Second-order hyperbolic s.p.d.e.’s driven by homogeneous Gaussian noise on a hyperplane
cites work: Stochastic Equations in Infinite Dimensions
cites work: Evolution equations with white-noise boundary conditions
cites work: Ergodicity for Infinite Dimensional Systems
cites work: Spatially homogeneous random evolutions
cites work: Q4275389
cites work: Stochastic PDE's with function-valued solutions
cites work: Plurisubharmonic measures and Wiener measures
cites work: Wave equation with stochastic boundary values
cites work: Q4844847
cites work: A stochastic wave equation in two space dimensions: smoothness of the law
cites work: Analysis of spherical symmetries in Euclidean spaces
cites work: Q5587587
cites work: The Cauchy problem for a nonlinear stochastic wave equation in any dimension
cites work: Stochastic evolution equations with a spatially homogeneous Wiener process
cites work: Nonlinear stochastic wave and heat equations
cites work: Q3996259
cites work: Positive definite functions on spheres
cites work: Q4004218
cites work: Multidimensional reaction-diffusion equations with white noise boundary perturbations
cites work: Q3747436
DOI: 10.1214/AOP/1079021472
description: scientific article; zbMATH DE number 2100742