A unique continuation theorem for uniformly elliptic equations with strongly singular potentials

1 January 1993

journal article
research article
Published by Taylor & Francis in Communications in Partial Differential Equations

Vol. 18 (7-8) , 1161-1189
https://doi.org/10.1080/03605309308820968

Abstract

We prove unique continuation properties for solutions of uniformly elliptic equations: with Lipschitz continuous The principal assumptions on in our theorems, are for some constant . for Some for Some is the Kato class and is the Fefferman-Phong class.

Keywords

ELLIPTIC EQUATIONS
STRONGLY SINGULAR
UNIFORMLY ELLIPTIC
SINGULAR POTENTIALS
UNIQUE CONTINUATION THEOREM

This publication has 2 references indexed in Scilit:

Unique Continuation and Absence of Positive Eigenvalues for Schrodinger Operators
Annals of Mathematics, 1985
Elliptic Partial Differential Equations of Second Order
Published by Springer Nature ,1977