Unique continuation with weak type lower order terms. (English) Zbl 0881.35019
Summary: This paper proves a unique continuation property for the elliptic differential inequality \(|\Delta u|\leq A|u|+ B|\nabla u|\), where the coefficients \(A\) and \(B\) are functions in the Lorentz space with small weak type norm.
MSC:
35B60 | Continuation and prolongation of solutions to PDEs |
35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |