10 citations · 14 across the 5 of their papers we have counts for
10 papers
Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki +2
We consider the final state problem for the inhomogeneous nonlinear Schrödinger equation with a critical long-range nonlinearity. Given a prescribed asymptotic profile, which has a…
Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials
Haruya Mizutani
We study the scattering theory for the Schrödinger and wave equations with rough potentials in a scale of homogeneous Sobolev spaces. The first half of the paper concerns with an i…
Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with -data
Takahisa Inui, Haruya Mizutani
In the present paper, we consider the linear wave equation with the scale-invariant damping and mass. It is known that the global behavior of the solution depends on the size of th…
Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass
Takahisa Inui, Haruya Mizutani
We consider the linear wave equation with the time-dependent scale-invariant damping and mass. We also treat the corresponding equation with the energy critical nonlinearity. Our a…
Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph
Kazuki Aoki, Takahisa Inui, Haruya Mizutani
We consider the Schrödinger equation with power type long-range nonlinearity on star graph. Under a general boundary condition at the vertex, including Kirchhoff, Dirichlet, , o…
Uniform resolvent estimates for Schrödinger operator with an inverse-square potential
Haruya Mizutani, Junyong Zhang, Jiqiang Zheng
We study the uniform resolvent estimates for Schrödinger operator with a Hardy-type singular potential. Let where is the usual Laplacian on $\mathbb{R}^…