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math.AP2026
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…
math.AP2007★ 5 cited
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.…