59 citations · 147 across the 29 of their papers we have counts for
7 papers · 1 filter
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…
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 scattering on non-compact manifolds with general metric
Hiroshi Isozaki, Matti Lassas
The problems we address in this paper are the spectral theory and the inverse problems associated with Laplacians on non-compact Riemannian manifolds and more general manifolds adm…
Spectral theory and inverse problem on asymptotically hyperbolic orbifolds
Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas
We consider an inverse problem associated with -dimensional asymptotically hyperbolic orbifolds having a finite number of cusps and regular ends. By observing solut…
Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces
Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas
We consider an inverse problem associated with some 2-dimensional non-compact surfaces with conical singularities, cusps and regular ends. Our motivating example is a Riemann surfa…
Forward and inverse scattering on manifolds with asymptotically cylindrical ends
Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas
We study an inverse problem for a non-compact Riemannian manifold whose ends have the following properties : On each end, the Riemannian metric is assumed to be a short-range pertu…