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math.FA2022★ 1 cited
A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold
Satoshi Ishiwata, Hiroshi Kawabi
In the present paper, we prove that the -semigroup generated by a Schrödinger operator with drift on a complete Riemannian manifold is approximated by the discrete semigroup…
math.DG2022
Poincaré constant on manifolds with ends
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
We obtain optimal estimates of the Poincaré constant of central balls on manifolds with finitely many ends. Surprisingly enough, the Poincaré constant is determined by the second l…