L^p-boundedness of wave operators for bi-Schrödinger operators on the line

2022/01/13 by Mizutani, Haruya, Wan, Zijun, Yao, Xiaohua
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2201.04758

Abstract

This paper is devoted to establishing several types of L^p-boundedness of wave operators W_±=W_±(H, Δ²) associated with the bi-Schrödinger operators H=Δ²+V(x) on the line ℝ. Given suitable decay potentials V, we firstly prove that the wave and dual wave operators are bounded on L^p(ℝ) for all 1

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