6 papers
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 =…
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…
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…
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 an…
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…
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…