Henrik Ueberschaer

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20222026

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math.AP2026

Unique continuation at infinity for potentials with arbitrary radial growth

Henrik Ueberschaer

Let $G$ be any given continuous positive function on $R_{+}$ . Let $V$ be radial with $∣ V (x) ∣ \leq G (∣ x ∣)$ . We prove a Landis-type theorem for any real-valued solution of $Δu=…

math.AP2026

On the inner radius of the nonvanishing set for eigenfunctions of complex elliptic operators

Henrik Ueberschaer, Omer Friedland

Let $Ω \subset R^{d}$ be any open set. We consider solutions of $H ψ_{λ} = λ ψ_{λ}$ , $λ \in C$ , where $H$ is an $m$ th order complex constant-coefficient elliptic partial differ…