Continuous bounds for quotients of Green functions
type: Item
instance of: scholarly article
title: Continuous bounds for quotients of Green functions
zbMATH Open document ID: 0631.31004
DOI: 10.1007/BF00281745
author: Malte Sieveking
author: Hermann Hueber
published in: Archive for Rational Mechanics and Analysis
publication date: 1985-01-01T00:00:00Z
review text: For uniformly elliptic partial differential operators of second order defined on a bounded domain of \({\mathbb{R}}^ n\), with coefficients belonging to a Hölder-class, the paper introduces the coefficients- topology (uniform on compacta-convergence of coefficients). This enables the authors to get uniform bounds of the corresponding quotients of Green kernels. In other words, a distance through the Green functions of the corresponding operators gives the preceding topology on the coefficients. Methods uses classical potential theory.
Mathematics Subject Classification ID: 31B35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4025811
zbMATH Keywords: Harnack's inequality
zbMATH Keywords: uniformly elliptic
zbMATH Keywords: second order
zbMATH Keywords: coefficients- topology
zbMATH Keywords: uniform bounds
zbMATH Keywords: quotients of Green kernels
zbMATH Keywords: Green functions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4025811