5 citations · 10 across the 5 of their papers we have counts for
5 papers
Characterization of spacetime singularities for the Schrödinger equation by initial state
Takeru Fujii, Kenichi Ito
We discuss spacetime singularities of a solution to the Schrödinger equation with a metric perturbation and a sublinear potential. The quasi-homogeneous wave front set, due to Lasc…
Rellich's theorem and N-body Schrodinger operators
K. Ito, E. Skibsted
We show an optimal version of the Rellich theorem for generalized many-body Schrodinger operators. It applies to singular potentials, in particular to a model for atoms and molecul…
Absence of embedded eigenvalues for Riemannian Laplacians
K. Ito, E. Skibsted
In this paper we study absence of embedded eigenvalues for Schrödinger operators on non-compact connected Riemannian manifolds. A principal example is given by a manifold with an e…
Scattering theory for Riemannian Laplacians
K. Ito, E. Skibsted
In this paper we introduce a notion of scattering theory for the Laplace-Beltrami operator on non-compact, connected and complete Riemannian manifolds. A principal condition is giv…
Singularities of solutions to Schrodinger equation on scattering manifold
Kenichi Ito, Shu Nakamura
In this paper we study microlocal singularities of solutions to Schrodinger equations on scattering manifolds, i.e., noncompact Riemannian manifolds with asymptotically conic ends.…