On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations
type: Item
instance of: scholarly article
title: On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations
zbMATH Open document ID: 0793.60064
DOI: 10.1007/BF01199321
author: István Gyöngy
author: Etienne Pardoux
publication date: 1994-08-11T00:00:00Z
review text: We show that an existence and uniqueness and a comparison theorem hold if we add a space-time white noise to a quasi-linear parabolic equation in one space dimension, even if the nonlinearity is only measurable and not even locally bounded.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 568988
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: comparison theorem
MaRDI profile type: Publication
cites work: Q3209951
cites work: On quasi-linear stochastic partial differential equations
cites work: Mimicking the one-dimensional marginal distributions of processes having an Ito differential
cites work: ON ESTIMATES OF THE MAXIMUM OF A SOLUTION OF A PARABOLIC EQUATION AND ESTIMATES OF THE DISTRIBUTION OF A SEMIMARTINGALE
cites work: On Itô’s Stochastic Integral Equations
cites work: Markov field properties of solutions of white noise driven quasi-linear parabolic pdes
cites work: Q4001276
cites work: Q4002873
full work available at URL: https://doi.org/10.1007/bf01199321
OpenAlex ID: W2006459059
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
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description: scientific article; zbMATH DE number 568988