The L^p-boundedness of wave operators for 4-th order Schrödinger operators on ℝ², I

2025/04/16 by Galtbayar, Artbazar, Yajima, Kenji
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2504.11753

Abstract

We prove that high energy parts of wave operators for fourth order Schrödinger operators H=Δ² + V(x) in ℝ² are bounded in L^p(ℝ²) for p∈(1,∞).

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