Hölder-Sobolev regularity of solutions to a class of SPDE's driven by a spatially colored noise
type: Item
instance of: scholarly article
title: Hölder-Sobolev regularity of solutions to a class of SPDE's driven by a spatially colored noise
zbMATH Open document ID: 1005.60075
DOI: 10.1016/S1631-073X(02)02359-2
author: Marta Sanz-Solé
author: Pierre-A. Vuillermot
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-10-14T00:00:00Z
review text: The authors present new results regarding the equivalence, the existence and the joint space-time regularity properties of various notions of solution to a class of nonautonomous, semilinear, stochastic differential equations defined on a smooth, bounded convex domain \(D\subset R^d\) and driven by a spatially colored noise defined from an \(L^2(D)\)-valued Wiener process.
reviewed by: Stanisław Wedrychowicz
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 1777380
zbMATH Keywords: equivalence
zbMATH Keywords: existence
zbMATH Keywords: joint space-time regularity properties
MaRDI profile type: Publication
cites work: Q3049612
cites work: Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
cites work: Stochastic Equations in Infinite Dimensions
cites work: *-solutions of evolution equations in Hilbert space
cites work: Q5669199
cites work: Stochastic evolution equations
cites work: Stochastic evolution equations with respect to semimartingales in hilbert space
cites work: Q4093379
cites work: Nonlinear stochastic wave and heat equations
cites work: Q3747436
full work available at URL: s1631-073x(02)02359-2
OpenAlex ID: W1979694310
description: scientific article; zbMATH DE number 1777380