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20082026
most citedSpectral Properties of Schrödinger Operators on Perturbed Lattices

59 citations · 147 across the 29 of their papers we have counts for

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13 papers · 1 filter

math.SP2026

Inverse scattering in an asymptotically flat multilayer domain

Michel Cristofol, Yves Dermenjian, Hiroshi Isozaki +1

We consider a scattering problem for a wave equation in a multilayer domain $Ω\subset {\bf R}^{n+1}_x = {…

math.SP2024

A remark on the absence of eigenvalues in continuous spectra for discrete Schrödinger operators on periodic lattices

Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

We prove a Rellich-Vekua type theorem for Schrödinger operators with exponentially decreasing potentials on a class of lattices including square, triangular, hexagonal lattices and…

math.SP2021

Inverse problems for discrete heat equations and random walks for a class of graphs

Emilia Blåsten, Hiroshi Isozaki, Matti Lassas +1

We study the inverse problem of determining a finite weighted graph from the source-to-solution map on a vertex subset for heat equations on graphs, where the…

math.SP2021★ 1 cited

Gel'fand's inverse problem for the graph Laplacian

Emilia Blåsten, Hiroshi Isozaki, Matti Lassas +1

We study the discrete Gel'fand's inverse boundary spectral problem of determining a finite weighted graph. Suppose that the set of vertices of the graph is a union of two disjoint…

math.SP2019★ 1 cited

Inverse spectral theory for perturbed torus

Hiroshi Isozaki, Evgeny L. Korotyaev

We consider an inverse problem for Laplacians on rotationally symmetric manifolds, which are finite for the transversal direction and periodic with respect to the axis of the manif…

math.SP2018★ 16 cited

Inverse scattering for Schrödinger operators on perturbed lattices

Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

We study the inverse scattering for Schr{ö}dinger operators on locally perturbed periodic lattices. We show that the associated scattering matrix is equivalent to the Dirichlet-to-…