Local solvability of first order linear operators with Lipschitz coefficients
type: Item
instance of: scholarly article
title: Local solvability of first order linear operators with Lipschitz coefficients
zbMATH Open document ID: 0731.35025
DOI: 10.1215/S0012-7094-91-06219-8
published in: Duke Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: Let \(L=\partial /\partial t+i\sum^{n}_{j=1}b_ j(x,t)\partial /\partial x_ j+c(x,t)\) with \(b_ j(x,t)\) smooth and real. Let \(Lu=f\). This article shows that Lipschitz continuity of \(b_ j(x,t)\) is sufficient to obtain \(L^ 2\)- solvability and the solution of \(Lu=f\) can be defined on the whole strip \(| t| <\epsilon\).
reviewed by: N.L.Maria
Mathematics Subject Classification ID: 35F10
Mathematics Subject Classification ID: 35A07
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 4208632
zbMATH Keywords: L\({}^ 2\)-solvability
author: Jorge Hounie
MaRDI profile type: Publication
cites work: COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
cites work: Q3941791
cites work: L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
cites work: A boundedness criterion for generalized Calderón-Zygmund operators
cites work: Solvability of a first order linear partial differential equation
cites work: Q5607484
cites work: Local Solvability in L 2 of First Order Linear PDEs
full work available at URL: s0012-7094-91-06219-8
OpenAlex ID: W1556536284
description: scientific article; zbMATH DE number 4208632