activity
20242026
collaborators

5 papers

math.AP2026

Dispersive estimates for Schrödinger operators with negative Coulomb-like potentials in one dimension

Akitoshi Hoshiya, Kouichi Taira

In this paper, we consider the dispersive estimates for Schrödinger operators with Coulomb-like decaying potentials, such as for with , in on…

math.AP2025

A microlocal Cauchy problem through a crossing point of Hamiltonian flows

Kenta Higuchi, Vincent Louatron, Kouichi Taira

In this paper, we consider matrix-valued pseudodifferential equations in which the two characteristic sets intersect with finite contact order. We show that the asympto…

math.AP2025

Dispersive estimates and optimality for Schrödinger equations on product cones

Kouichi Taira

In this paper, we study time decay estimates for the Schrödinger propagator on the product cone , where . We pr…

math.AP2025

Strichartz Estimates for the -Generalized Laguerre Operators

Kouichi Taira, Hiroyoshi Tamori

In this paper, we prove Strichartz estimates for the -generalized Laguerre operators which were introduced by Ben Sa\"ıd-Kobayashi-…

math.AP2024

Equivalence of classical and quantum completeness for real principal type operators on the circle

Kouichi Taira

In this article, we prove that the completeness of the Hamilton flow and essential self-adjointness are equivalent for real principal type operators on the circle. Moreover, we stu…