The L^p-boundedness of wave operators for fourth order Schrödinger operators on \mathbb R⁴

2023/03/24 by Galtbayar, Artbazar, Yajima, Kenji
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2303.13985

Abstract

We prove that the wave operators of scattering theory for the fourth order Schrödinger operators Δ² + V(x) in \mathbb R⁴ are bounded in L^p(\mathbb R⁴) for the set of p's of (1,∞) depending on the kind of spectral singularities of H at zero which can be described by the space of bounded solutions of (Δ² + V(x))u(x)=0.

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