8 citations · 15 across the 8 of their papers we have counts for
9 papers · 1 filter
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 one d…
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…
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 prove…
Local time decay for fractional Schrödinger operators with slowly decaying potentials and a weaker Agmon type estimate in a classically forbidden region
Kouichi Taira
A local time decay estimate of fractional Schrödinger operators with slowly decaying positive potentials are studied. It is shown that its resolvent is smooth near zero and the tim…
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-Or…
A remark on Strichartz estimates for Schrödinger equations with slowly decaying potentials
Kouichi Taira
In this short note, we prove Strichartz estimates for Schrödinger operators with slowly decaying singular potentials in dimension two. This is a generalization of the recent result…