Preprints:
[8] Limiting absorption principle and absence of eigenvalues for massless Klein-Gordon operators on perturbations of the Minkowski spacetime, arXiv:2312.15675
[7] (with Z. Wan, X. Yao) $L^p$-boundedness of wave operators for fourth order Schrödinger operators with zero resonances on $¥mathbb{R}^3$, arXiv:2311.06763
[6] (with Z. Wan, X. Yao) Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three, arXiv:2311.06768
[5] (with L. Fanelli, L. Roncal, N. M. Schiavone) Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian, arXiv:2310.18050
[4] (with M. Kawamoto) Modified scattering for nonlinear Schrödinger equations with long-range potentials, arXiv:2308.13254
[3] (with Z. Wan, X. Yao) $L^p$-boundedness of wave operators for fourth-order Schrödinger operators on the line, arxiv:2201.04758
[2] (with K. Aoki, T. Inui, H. Miyazaki, K. Uriya) Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential, submitted. arXiv:2101.09423
[1] (with X. Yao) Global Kato smoothing and Strichartz estimates for higher-order Schrödinger operators with rough decay potentials, submitted. arXiv:2004.10115
Papers:
[22] (with N. M. Schiavone) Spectral enclosures for Dirac operators perturbed by rigid potentials, Rev. Math. Phys. 34 (2022) 2250023, arXiv:2108.12854 - Article
[21] Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials, J. Math. Phys. 61 (2020) 091505, arXiv:2006.15860 - Article
[20] (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
[19] (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
[18] (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
[17] (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
[16] (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
[15] (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
[14] Wave operators on Sobolev spaces, Proc. Amer. Math. Soc. 148 (2020) 1645-1652. arxiv.org/abs/1903.01719 - Article
[13] Strichartz estimates for Schrödinger equations with slowly decaying potentials, J. Funct. Anal. 279 (2020) 108789, arxiv.org/abs/1808.06987 - Article
[12] 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
[11] Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications, Analysis & PDE, 13 (2020) 1333-1369. arxiv.org/abs/1609.03253 - Article
[10] 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
[9] 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
[8] (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
[7] (with J. -M. Bouclet) Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping, accepted for publication in Mémoires de la Société Mathématique de France. arxiv.org/abs/1602.06287
[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.