Blair Davey

activity

20122026

most citedSome quantitative unique continuation results for eigenfunctions of the magnetic Schrödinger operator

40 citations · 73 across the 20 of their papers we have counts for

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Showing 2014 · math.APShow all

3 papers · 2 filters

math.AP2014★ 4 cited

Parabolic theory as a high-dimensional limit of elliptic theory

Blair Davey

The aim of this article is to show how certain parabolic theorems follow from their elliptic counterparts. This technique is demonstrated through new proofs of five important theor…

math.AP2014

A Meshkov-type construction for the borderline case

Blair Davey

We construct functions $u : R^{2} \to C$ that satisfy an elliptic eigenvalue equation of the form $- Δ u + W \cdot \nabla u + V u = λ u$ , where $λ \in C$ , and $…

math.AP2014

A further quantification of the unique continuation properties of eigenfunctions of the magnetic Schrödinger operator

Blair Davey

We prove quantitative unique continuation results for solutions of $Δ w - k^{2} w = V w + W \cdot \nabla w$ in a neighborhood of infinity, where $k > 0$ , and $V$ and $W$ are complex-va…