activity
20082026
most citedSpectral Properties of Schrödinger Operators on Perturbed Lattices

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

collaborators

29 papers

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-ph2025

Scattering for time periodic Hamiltonians on graphs

Hiroshi Isozaki, Evgeny, L. Korotyaev

We develop a scattering theory for time-periodic Hamiltonians on discrete graphs, including long-range potentials with zero average for the period, and show the existence and compl…

math.AP2024

Rellich type theorem and unique continuation property for discrete Maxwell operators

Hiroshi Isozaki, Olivier Poisson

We study the Rellich type theorem (RT) for the Maxwell operator __ D = D____0 on Z3 in a constant anisotropic medium, i.e., the permittivity and permeability of which are constant…

math.AP2024

Inverse scattering problems for non-linear wave equations on Lorentzian manifolds

Spyros Alexakis, Hiroshi Isozaki, Matti Lassas +1

We show that an inverse scattering problem for a semilinear wave equation can be solved on a manifold having an asymptotically Minkowskian infinity, that is, scattering functionals…

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-ph2024

Inverse problems for quantum graph associated with square and hexagonal lattices

K. Ando, E. Blåsten, P. Exner +5

We solve inverse problems from the D-N map for the quantum graph on a finite domain in a square lattice and that on a hexagonal lattice, as well as inverse scattering problems from…