Extra regularity for parabolic equations with drift terms
type: Item
instance of: scholarly article
title: Extra regularity for parabolic equations with drift terms
zbMATH Open document ID: 1063.35045
author: V. A. Liskevich
author: Qi S. Zhang
published in: Manuscripta Mathematica
publication date: 2004-07-01T00:00:00Z
review text: A parabolic equation with a drift term \(u_t=\Delta u +b \nabla u\) is considered in \(\mathbb R^n\times (0, \infty), \;b=b(x)\) is \(n\)-dimensional vector-function. The goal of the article is to establish Gaussian bounds for the fundamental solution and Hölder continuity of solutions under the maximal possible singularity of the drift term. For specific drift the results are given for singularities of \(b\) up to the limit order \(c/| x| \), -- in contrast to singular potential terms.
reviewed by: E. A. Kalita
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 35A08
zbMATH DE Number: 2078008
zbMATH Keywords: Hölder continuity of solutions
zbMATH Keywords: fundamental solution
zbMATH Keywords: Gaussian bound
MaRDI profile type: Publication
full work available at URL: s00229-003-0433-x
OpenAlex ID: W2066592800
DOI: 10.1007/S00229-003-0433-X
description: scientific article; zbMATH DE number 2078008