H. Mizutani

发表

Global Kato smoothing and Strichartz estimates for higher-order Schr\"odinger operators with rough decay potentials

H. Mizutani, X. Yao, 2020, 2004.10115.

Strichartz estimates for Schrödinger equations with slowly decaying potentials

H. Mizutani, 2018, 1808.06987.

Strichartz estimates for Schr\"odinger equations with variable coefficients and unbounded potentials II. Superquadratic potentials

H. Mizutani, 2012 .

Kato Smoothing, Strichartz and Uniform Sobolev Estimates for Fractional Operators With Sharp Hardy Potentials

Xiaohua Yao, Haruya Mizutani, H. Mizutani, 2020, Communications in Mathematical Physics.

Wave operators on Sobolev spaces

H. Mizutani, 2019, Proceedings of the American Mathematical Society.

$L^p$-boundedness of wave operators for fourth-order Schr\"odinger operators on the line

Zijun Wan, Xiaohua Yao, Haruya Mizutani, 2022, 2201.04758.

Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications

H. Mizutani, 2016, 1609.03253.

Uniform resolvent estimates for Schrödinger operator with an inverse-square potential

Junyong Zhang, H. Mizutani, Jiqiang Zheng, 2019, Journal of Functional Analysis.

Kato smoothing and Strichartz estimates for higher-order and fractional operators with sharp Hardy potentials

H. Mizutani, X. Yao, 2020 .

Uniform resolvent and Strichartz estimates for Schr\"odinger equations with critical singularities

H. Mizutani, J. Bouclet, 2016, 1607.01187.

Strichartz estimates for Schr\"odinger equations with variable coefficients and potentials at most linear at spatial infinity

H. Mizutani, 2011, 1108.2103.

Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition

H. Mizutani, Takahisa Inui, H. Miyazaki, 2020, Pure and Applied Analysis.

Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph

H. Mizutani, Takahisa Inui, K. Aoki, 2019, Journal of Evolution Equations.

Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials

H. Mizutani, 2020, 2006.15860.

Eigenvalue bounds for non-self-adjoint Schrödinger operators with the inverse-square potential

H. Mizutani, 2016, Journal of Spectral Theory.

Strichartz estimates for Schr\"odinger equations with variable coefficients and unbounded potentials II. Superquadratic potentials

H. Mizutani, 2012, 1212.1982.

Modified scattering for inhomogeneous nonlinear Schr\"odinger equations with and without inverse-square potential

Hayato Miyazaki, Takahisa Inui, Kota Uriya, 2021, 2101.09423.

Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass

H. Mizutani, Takahisa Inui, 2021, Nonlinear Differential Equations and Applications NoDEA.

Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass

H. Mizutani, Takahisa Inui, 2020, 2004.03832.

Dispersive estimates for Schrodinger equations in dimension one (Spectral and Scattering Theory and Related Topics)

H. Mizutani, 2010 .

Title Dispersive estimates for Schrodinger equations in dimensionone ( Spectral and Scattering Theory

H. Mizutani, 2016 .

Dispersive estimates and asymptotic expansions for Schrödinger equations in dimension one

H. Mizutani, 2011 .

Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with 𝐿^{𝑟}-data

H. Mizutani, Takahisa Inui, 2020, 2005.01335.

Remarks on endpoint Strichartz estimates for Schr\"odinger equations with the critical inverse-square potential

H. Mizutani, 2016, 1607.02848.

Spectral enclosures for Dirac operators perturbed by rigid potentials

Haruya Mizutani, Nico Michele Schiavone, H. Mizutani, 2021, Reviews in Mathematical Physics.

Strichartz Estimates for Schrödinger Equations on Scattering Manifolds

H. Mizutani, 2012 .

Strichartz Estimates for Non-Elliptic Schrödinger Equations on Compact Manifolds

N. Tzvetkov, H. Mizutani, 2014, 1406.4593.

Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping

H. Mizutani, J. Bouclet, 2016, 1602.06287.

$L^p$-boundedness of wave operators for bi-Schr\"odinger operators on the line

H. Mizutani, X. Yao, Zijun Wan, 2022, 2201.04758.

Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schr\"odinger operators in dimension three

H. Mizutani, Xiaohua Yao, Zijun Wan, 2023, 2311.06768.