A. Arnal

activity

20222026

most citedResolvent estimates for one-dimensional Schrödinger operators with complex potentials

9 citations · 10 across the 6 of their papers we have counts for

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Showing 2022 · math.SPShow all

3 papers · 2 filters

math.SP2022

Generalised Airy Operators

Antonio Arnal, Petr Siegl

We study the behaviour of the norm of the resolvent for non-self-adjoint operators of the form $A := - \partial_{x} + W (x)$ , with $W (x) \geq 0$ , defined in $L^{2} (R)$ . We provid…

math.SP2022★ 1 cited

Resolvent estimates for the one-dimensional damped wave equation with unbounded damping

Antonio Arnal

We study the generator $G$ of the one-dimensional damped wave equation with unbounded damping. We show that the norm of the corresponding resolvent operator, $∥ (G - λ)^{- 1} ∥$ ,…

math.SP2022★ 9 cited

Resolvent estimates for one-dimensional Schrödinger operators with complex potentials

Antonio Arnal, Petr Siegl

We study one-dimensional Schrödinger operators $H = - \partial_{x}^{2} + V$ with unbounded complex potentials $V$ and derive asymptotic estimates for the norm of the reso…