%0 Journal Article
%T On the Backward Uniqueness Property for the Heat Equation in Two-Dimensional Conical Domains
%A Angkana Rščland
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s00229-015-0764-4
%X In this article we deal with the backward uniqueness property of the heat equation in conical domains in two spatial dimensions via Carleman inequality techniques. Using a microlocal interpretation of the pseudoconvexity condition, we improve the bounds of \v{S}ver\'ak and Li on the minimal angle in which the backward uniqueness property is displayed: We reach angles of slightly less than $95^{\circ}$. Via two-dimensional limiting Carleman weights we obtain the uniqueness of possible controls of the heat equation with lower order perturbations in conical domains with opening angles larger than $90^{\circ}$
%U http://arxiv.org/abs/1310.6655v1