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20112026
most citedKato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials

14 citations · 107 across the 28 of their papers we have counts for

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Showing 2019 · math.APShow all

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math.AP2019

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…

math.AP2019★ 13 cited

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}^…

math.AP2019

Wave operators on Sobolev spaces

Haruya Mizutani

We provide a simple sufficient condition in an abstract framework to deduce the existence and completeness of wave operators (resp. modified wave operators) on Sobolev spaces from…