A counterexample in a unique continuation problem
type: Item
instance of: scholarly article
title: A counterexample in a unique continuation problem
zbMATH Open document ID: 0836.35023
author: Thomas H. Wolff
published in: Communications in Analysis and Geometry
publication date: 1996-04-08T00:00:00Z
review text: This paper proves the following result: (i) If \(d \geq 4\), then there exists a \(d\)-multivariate function, not identically zero, which vanishes to infinite order at origin and satisfies \(|\Delta u |\leq C |x |^{-1} \nabla u\) for some constant \(C\). (ii) If \(d \geq 5\), then the function \(u\) may be selected so that in addition \(|\Delta u |\leq V |\nabla u |\), \(V \in L^d\).
Mathematics Subject Classification ID: 35B60
zbMATH DE Number: 820209
zbMATH Keywords: \(d\)-multivariate function
reviewed by: Guy Jumarie
MaRDI profile type: Publication
Wikidata QID: Q124994046
DOI: 10.4310/CAG.1994.V2.N1.A5
description: scientific article; zbMATH DE number 820209