6 papers
Modified wave operators are unbounded on for
Akitoshi Hoshiya, Kouichi Taira
We study the -boundedness of Isozaki--Kitada type modified wave operators associated with Schrödinger operators in one dimension for potentials inclu…
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…
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…
Uniform resolvent and orthonormal Strichartz estimates for repulsive Hamiltonian
Akitoshi Hoshiya
We consider the uniform resolvent and orthonormal Strichartz estimates for the Schrödinger operator. First we prove the Keel-Tao type theorem for the orthonormal Strichartz estimat…
Orthonormal Strichartz estimate for dispersive equations with potentials
Akitoshi Hoshiya
In this paper we prove the orthonormal Strichartz estimates for the higher order and fractional Schrödinger, wave, Klein-Gordon and Dirac equations with potentials. As in the case…
Orthonormal Strichartz estimates for Schrödinger operator and their applications to infinitely many particle systems
Akitoshi Hoshiya
We develop an abstract perturbation theory for the orthonormal Strichartz estimates, which were first studied by Frank-Lewin-Lieb-Seiringer. The method used in the proof is based o…