Unique continuation for differential equations of Schrödinger’s type

Abstract

Unique continuation for differential equations of Schrodinger's type R. REGBAOUI We prove that the strong unique continuation property holds for the differential inequality |A^(x)| < V r (a:)|Vti(x)|, where V is a function in L[ oc (Q) with r > '^^L ,n > 3, and Q a connected open subset of M 71 .If ra > 5 our result improves that of Wolff [6] who gotr >Max(n,^^).

Locations

• Communications in Analysis and Geometry - View - PDF