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math.AP2025
On Landis' conjecture in the plane for real-valued potentials with decay
Blair Davey
We investigate the quantitative unique continuation properties of real-valued solutions to planar Schrödinger equations with potential functions that exhibit pointwise decay at inf…
math.AP2025
A frequency function approach to quantitative unique continuation for elliptic equations
Blair Davey
We investigate the quantitative unique continuation properties of solutions to second-order elliptic equations with lower-order terms. In particular, we establish quantitative form…
math.AP2025
Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory
Blair Davey, Mariana Smit Vega Garcia
This paper continues the program that was initiated in \cite{Dav18} and continued in \cite{DSVG24}, where a high-dimensional limiting technique was developed and used to prove cert…