8 citations · 15 across the 4 of their papers we have counts for
8 papers
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…
Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes
Kouichi Taira
In this paper, we shall show that the limiting absorption principle for the wave operator on the asymptotically Minkowski spacetime. This problem was previously considered by [A. V…
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three
Kouichi Taira
In this note, we prove the uniform resolvent estimate of the discrete Schrödinger operator with dimension three. To do this, we show a Fourier decay of the surface measure on the F…
Essential self-adjointness of real principal type operators
Shu Nakamura, Kouichi Taira
We study the essential self-adjointness for real principal type differential operators. Unlike the elliptic case, we need geometric conditions even for operators on the Euclidean s…
Some properties of threshold eigenstates and resonant states of discrete Schrödinger operators
Yuji Nomura, Kouichi Taira
In this note, we study some properties of threshold resonant states or threshold eigenfunctions for discrete Schrödinger operators. We mainly prove two theorems. First, we prove th…
Limiting absorption principle on -spaces and scattering theory
Kouichi Taira
In this paper, we study the mapping property form to of the resolvent of the Fourier multiplier operators and scattering theory of generalized Schrödinger operators. Th…