My papers on Google Scholar

Preprints:

[3] (with M. Kawamoto) Large-data modified wave operators for the defocusing nonlinear Schrödinger equation in one space dimension with subcritical long-range nonlinearity, arXiv:2609.12518

[2] (with L. Fanelli, Y. Song, Y. Wang, J. Zheng) Scattering Theory For 3D Cubic Damped Magnetic Schrödinger Equation, arXiv:2608.11834

[1] (with K. Aoki, T. Inui, H. Miyazaki, K. Uriya) Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential, arXiv:2101.09423

Papers: 

[31] (with M. Kawamoto) Modified wave operators for the defocusing cubic nonlinear Schrödinger equation in one space dimension with large scattering data, to appear in Journal of the European Mathematical Society, arXiv:2506.01871

[30] (with L. Fanelli, L. Roncal, N. M. Schiavone) Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian, Journal d'Analyse Mathématique, (2026), arXiv:2409.11943 - Article

[29] (with L. Fanelli, L. Roncal, N. M. Schiavone) Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian, Journal of Fourier Analysis and Applications, 31 (2025), no. 3, Paper No. 37,  arXiv:2310.18050 - Article

[28] (with Z. Wan, X. Yao) $L^p$-boundedness of wave operators for fourth order Schrödinger operators with zero resonances on $¥mathbb{R}^3$, J. Funct. Anal. 289 (2025), no. 8, Paper No. 111013,  arXiv:2311.06763 - Article

[27] (with M. Kawamoto) Modified scattering for the cubic nonlinear Schrödinger equation with long-range potentials in one space dimension, Proc. Amer. Math. Soc. 153 (2025), no. 8, 3475–3490,  arXiv:2412.16872 - Article

[26] (with M. Kawamoto) Modified scattering for nonlinear Schrödinger equations with long-range potentials, Trans. Amer. Math. Soc., 378 (2025), 3625–3652,  arXiv:2308.13254 - Article

[25] (with X. Yao) Global Kato smoothing and Strichartz estimates for higher-order Schrödinger operators with rough decay potentials, Reviews in Mathematical Physics, 37 (2025), 2450050 (33pages), arXiv:2004.10115 - Article

[24] (with Z. Wan, X. Yao) Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three, J. Spectr. Theory 14 (2024), 1409-1450,  arXiv:2311.06768, Article

[23] (with J. -M. Bouclet) Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping, Mémoires de la Société Mathématique de France, 182 (2024), arxiv.org/abs/1602.06287 - Article

[22] (with Z. Wan, X. Yao) $L^p$-boundedness of wave operators for bi-Schrödinger operators on the line, Advances in Mathematics 451 (2024) 109806,  arxiv:2201.04758 - Article

[21] (with N. M. Schiavone) Spectral enclosures for Dirac operators perturbed by rigid potentials,  Rev.  Math. Phys. 34 (2022) 2250023,  arXiv:2108.12854 - Article

[20] Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials, J. Math. Phys. 61 (2020) 091505, arXiv:2006.15860 - Article

[19] (with K. Aoki, T. Inui, H. Miyazaki, K. Uriya) Asymptotic behavior for the long-range nonlinear Schrödinger equation on star graph with the Kirchhoff boundary condition, Pure and Applied Analysis, 4 (2022) 287-311, arXiv:2006.13490 - Article

[18] (with T. Inui) Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with $L^r$-data, Proc. Amer. Math. Soc. 149 (2021) 3473-3484 ,  arXiv:2005.01335 - Article

[17] (with T. Inui) Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass, Nonlinear Differential Equations and Applications NoDEA, 28, Article number: 8 (2021), arXiv:2004.0383 - Article

[16] (with X. Yao) Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials, Commun. Math. Phys. 388 (2021) 581-623, arXiv:2002.02163  - Article

[15] (with K. Aoki, T. Inui) Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph, J. Evolution Equations, 21 (2021) 297-312, arXiv:1909.11332 - Article

[14] (with J. Zhang, J. Zheng) Uniform resolvent estimate for Schrödinger operator with an inverse-square potential, J. Funct. Anal. 278 (2020) 108350, arXiv:1903.05040 - Article

[13] Wave operators on Sobolev spaces, Proc. Amer. Math. Soc. 148 (2020) 1645-1652. arxiv.org/abs/1903.01719 - Article

[12] Strichartz estimates for Schrödinger equations with slowly decaying potentials, J. Funct. Anal. 279 (2020) 108789, arxiv.org/abs/1808.06987 - Article

[11] Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials, Proc. Amer. Math. Soc. 146 (2018) 295-307. arxiv.org/abs/1610.01745 - Article

[10] Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications, Analysis & PDE, 13 (2020) 1333-1369. arxiv.org/abs/1609.03253 - Article

[9] Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential, J. Differential Equations, 263 (2017) 3832-3853. arxiv.org/abs/1607.02848 - Article

[8] Eigenvalue bounds for non-self-adjoint Schrödinger operators with the inverse-square potential, J. Spectral Theory, 9 (2019) 677-709. arxiv.org/abs/1607.01727 - Article

[7] (with J.-M. Bouclet) Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities, Trans. Amer. Math. Soc. 370 (2018) 7293-7333. arxiv.org/abs/1607.01187 - Article

[6] (with N. Tzvetkov) Strichartz estimates for non elliptic Schrödinger equations on compact manifolds, Comm. Partial Differential Equations 40 (2015), 1182-1195. arxiv.org/abs/1406.4593 - Article

[5] Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials II. Superquadratic potentials, Comm. Pure Appl. Anal. 13 (2014), 2177-2210. arxiv.org/abs/1212.1982 - Article

[4] Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials, Analysis & PDE, 6 (2013), 1857-1898. arxiv.org/abs/1202.5201 - Article

[3] Strichartz estimates for Schrödinger equations with variable coefficients and potentials at most linear at spatial infinity, J. Math. Soc. Japan, 65 (2013), 687-721. arxiv.org/abs/1108.2103 - Article

[2] Strichartz estimates for Schrödinger equations on scattering manifolds. Comm.  Partial Differential Equations, 37 (2012), 169-224. Article

[1] Dispersive estimates and asymptotic expansions for Schrödinger equations in dimension one, J. Math. Soc. Japan, 63 (2011), 239-261. Article

Proceedings: 

[2] Remarks on Strichartz estimates for Schrödinger equations on manifolds with ends, RIMS Kokyuroku Bessatsu B42, (2013), 33-50.

[1] Dispersive estimates for Schrödinger equations in dimension one, RIMS Kokyuroku Bessatsu B16, (2010), 141-152.