Partial differential equations with non-Euclidean geometries
type: Item
instance of: scholarly article
title: Partial differential equations with non-Euclidean geometries
zbMATH Open document ID: 1176.35054
author: Herbert Koch
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2008-10-30T00:00:00Z
review text: The author shows applications of the extension of the Calderon-Zygmund theory for singular integrals in the context of homogeneous spaces to linear partial differential operators of second order such as the heat operator, and the Laplace operator with drift, and the Oseen operator. In particular, the author produces Muckenhoupt weights and weighted \(L^p\)-inequalities for the second order derivatives of the solutions of the corresponding equations.
reviewed by: Massimo Lanza de Cristoforis
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 5359514
zbMATH Keywords: Oseen operator
zbMATH Keywords: spaces of homogeneous type
zbMATH Keywords: Muckenhoupt weights
MaRDI profile type: Publication
full work available at URL: dcdss.2008.1.481
OpenAlex ID: W2317250078
DOI: 10.3934/DCDSS.2008.1.481
description: scientific article; zbMATH DE number 5359514