Abstract: We prove the following unique continuation result: if a solution to the level set equation for mean curvature flow in a mean convex domain agrees to infinite order at the point where it ...

Abstract: We establish Carleman inequalities for the weighted Laplacian associated with an expanding gradient Ricci soliton. As a consequence, a unique continuation at infinity is proved for ...

In settings where there is no existence theory for a partial differential equation, one can still ask whether a solution of this equation, when it does exist, is unique. In this talk, we discuss this ...

We prove a novel unique continuation result for weak bisolutions to the massive Klein-Gordon equation on a 2-dimensional cylinder M. Namely, if such a bisolution vanishes in a neighbourhood of a ...