Akitoshi Hoshiya

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20242026

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math.AP2026

Dispersive estimates for SchrÃ¶dinger operators with negative Coulomb-like potentials in one dimension

Akitoshi Hoshiya, Kouichi Taira

In this paper, we consider the dispersive estimates for SchrÃ¶dinger operators with Coulomb-like decaying potentials, such as $V (x) = - c ∣ x ∣^{- I^¼}$ for $∣ x ∣ ≫ 1$ with $0 < I^¼ < 2$ , in on…

math.AP2025

Semiclassical limit of orthonormal Strichartz estimates on scattering manifolds

Akitoshi Hoshiya

We study a quantum and classical correspondence related to the Strichartz estimates. First we consider the orthonormal Strichartz estimates on manifolds with ends. Under the nontra…

math.AP2024

Uniform resolvent and orthonormal Strichartz estimates for repulsive Hamiltonian

Akitoshi Hoshiya

We consider the uniform resolvent and orthonormal Strichartz estimates for the SchrÃ¶dinger operator. First we prove the Keel-Tao type theorem for the orthonormal Strichartz estima…