On a stochastic Burgers equation with Dirichlet boundary conditions
type: Item
instance of: scholarly article
title: On a stochastic Burgers equation with Dirichlet boundary conditions
zbMATH Open document ID: 1030.60048
DOI: 10.1155/S0161171203211121
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/50553
review text: The author proves the existence of a weak solution for the one-dimensional Burgers equation perturbed by a white noise term, with Dirichlet boundary conditions and a continuous (not necessarily Lipschitz) coefficient. The sequence of polygonal approximations is proved to be tight, and the martingale problem for the weak limit has a solution.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H40
zbMATH DE Number: 2012573
zbMATH Keywords: Burgers equation
zbMATH Keywords: non-Lipschitz coefficient
author: Ekaterina Todorova Kolkovska
reviewed by: George Stoica
MaRDI profile type: Publication
OpenAlex ID: W2162003555
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description: scientific article; zbMATH DE number 2012573