Haruya Mizutani

activity

20232026

collaborators

4 papers

math.AP2026

Scattering Theory For 3D Cubic Damped Magnetic Schrödinger Equation

Luca Fanelli, Haruya Mizutani, Yilin Song +2

We consider the three-dimensional defocusing cubic nonlinear Schrödinger equation with variable coefficients, a magnetic potential, and a non-negative localized damping term, \[ i\…

math.AP2024

Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian

Luca Fanelli, Haruya Mizutani, Luz Roncal +1

We establish global bounds for solutions to stationary and time-dependent Schrödinger equations associated with the sublaplacian $L$ on the Heisenberg group, as well as it…

math.AP2023

Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian

Luca Fanelli, Haruya Mizutani, Luz Roncal +1

We prove uniform resolvent estimates in weighted $L^{2}$ -spaces for radial solutions of the sublaplacian $L$ on the Heisenberg group $H^{d}$ . The proofs are based on…

math.AP2023

$L^{p}$ -boundedness of wave operators for fourth order Schrödinger operators with zero resonances on $R^{3}$

Haruya Mizutani, Zijun Wan, Xiaohua Yao

Let $H = Δ^{2} + V$ be the fourth-order Schrödinger operator on $R^{3}$ with a real-valued fast-decaying potential $V$ . If zero is neither a resonance nor an eigenvalue of $H$ …

Scattering Theory For 3D Cubic Damped Magnetic Schrödinger Equation

Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian

Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian

Lp-boundedness of wave operators for fourth order Schrödinger operators with zero resonances on R3

$L^{p}$ -boundedness of wave operators for fourth order Schrödinger operators with zero resonances on $R^{3}$