H. Mizutani

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20112026

most citedKato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials

14 citations · 107 across the 28 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three

Haruya Mizutani, Zijun Wan, Xiaohua Yao

This paper is dedicated to investigating the $L^{p}$ -bounds of wave operators $W_{\pm} (H, Δ^{2})$ associated with fourth-order Schrödinger operators $H = Δ^{2} + V$ on $R^{3}$ . We consid…

math.AP2023

Modified scattering for nonlinear Schrödinger equations with long-range potentials

Masaki Kawamoto, Haruya Mizutani

We study the final state problem for the nonlinear Schrödinger equation with a critical long-range nonlinearity and a long-range linear potential. Given a prescribed asymptotic pro…