3 papers
math.AP2023
On Landis' conjecture in the plane for potentials with growth
Blair Davey
We investigate the quantitative unique continuation properties of real-valued solutions to Schrödinger equations in the plane with potentials that exhibit growth at infinity. More…
math.AP2023
Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory
Blair Davey, Mariana Smit Vega Garcia
This paper continues the study initiated in [B. Davey, Parabolic theory as a high-dimensional limit of elliptic theory, Arch Rational Mech Anal 228 (2018)], where a high-dimensiona…
math.AP2022
Exponential Decay Estimates for Fundamental Matrices of Generalized Schrödinger Systems
Blair Davey, Joshua Isralowitz
In this article, we investigate systems of generalized Schrödinger operators and their fundamental matrices. More specifically, we establish the existence of such fundamental matri…