Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities JM Bouclet, H Mizutani Transactions of the American Mathematical Society 370 (10), 7293-7333, 2018 | 38 | 2018 |
Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential H Mizutani Journal of Differential Equations 263 (7), 3832-3853, 2017 | 30 | 2017 |
Strichartz estimates for Schrödinger equations on scattering manifolds H Mizutani Communications in Partial Differential Equations 37 (2), 169-224, 2012 | 23 | 2012 |
Strichartz estimates for Schrödinger equations with slowly decaying potentials H Mizutani Journal of Functional Analysis 279 (12), 108789, 2020 | 22 | 2020 |
Strichartz estimates for Schrödinger equations with variable coefficients and potentials at most linear at spatial infinity H Mizutani Journal of the Mathematical Society of Japan 65 (3), 687-721, 2013 | 17 | 2013 |
Wave operators on Sobolev spaces H Mizutani Proceedings of the American Mathematical Society 148 (4), 1645-1652, 2020 | 15 | 2020 |
Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials H Mizutani Analysis & PDE 6 (8), 1857-1898, 2014 | 15 | 2014 |
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications H Mizutani Analysis & PDE 13 (5), 1333-1369, 2020 | 14 | 2020 |
Eigenvalue bounds for non-self-adjoint Schr\"odinger operators with the inverse-square potential H Mizutani arXiv preprint arXiv:1607.01727, 2016 | 14 | 2016 |
Uniform resolvent estimates for Schrödinger operator with an inverse-square potential H Mizutani, J Zhang, J Zheng Journal of Functional Analysis 278 (4), 108350, 2020 | 12 | 2020 |
-boundedness of wave operators for bi-Schr\" odinger operators on the line H Mizutani, Z Wan, X Yao arXiv preprint arXiv:2201.04758, 2022 | 11 | 2022 |
Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping JM Bouclet, H Mizutani arXiv preprint arXiv:1602.06287, 2016 | 11 | 2016 |
Dispersive estimates and asymptotic expansions for Schrödinger equations in dimension one H Mizutani Journal of the Mathematical Society of Japan 63 (1), 239-261, 2011 | 10 | 2011 |
Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials H Mizutani, X Yao Communications in Mathematical Physics 388 (1), 581-623, 2021 | 9 | 2021 |
Strichartz estimates for non-elliptic Schrödinger equations on compact manifolds H Mizutani, N Tzvetkov Communications in Partial Differential Equations 40 (6), 1182-1195, 2015 | 7 | 2015 |
Strichartz estimates for Schr\"odinger equations with variable coefficients and unbounded potentials II. Superquadratic potentials H Mizutani Communications on Pure and Applied Analysis 13 (6), 2177-2210, 2014 | 6 | 2014 |
Spectral enclosures for Dirac operators perturbed by rigid potentials H Mizutani, NM Schiavone Reviews in Mathematical Physics 34 (08), 2250023, 2022 | 5* | 2022 |
Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph K Aoki, T Inui, H Mizutani Journal of Evolution Equations 21 (1), 297-312, 2021 | 5 | 2021 |
Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials H Mizutani Proceedings of the American Mathematical Society 146 (1), 295-307, 2018 | 5 | 2018 |
Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass T Inui, H Mizutani Nonlinear Differential Equations and Applications NoDEA 28, 1-33, 2021 | 4 | 2021 |