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Continuum limit for Laplace and Elliptic operators on lattices
Keita Mikami, Shu Nakamura, Yukihide Tadano
Continuum limits of Laplace operators on general lattices are considered, and it is shown that these operators converge to elliptic operators on the Euclidean space in the sense of…
math-ph2016
Geometric Scattering for Schrödinger Operators with Asymptotically Homogeneous Potentials of Order Zero
Keita Mikami
In this paper we consider Schröodinger operators with potentials of order zero on asymptotically conic manifolds. We prove the existence and the completeness of the wave operators…