Sharp \(L^p\)-Carleman estimates and unique continuation
The authors prove sharp \(L^{p}\) Carleman estimates and the corresponding unique continuation property for a second order real principal type differential equation \(P(x,D) u+V(x) u=0\) with critical potential \(V\in L_{\text{loc}}^{n/2}\) (where \(n\geq 3\)) across a nonchacteristic hypersurface under a pseudo\-convexity assumption.
scientific article; zbMATH DE number 5010588
scientific article