3 papers
math-ph2019
Non-scattering energies for acoustic-type equations on manifolds with a single flat end
Hisashi Morioka, Naotaka Shoji
In this paper, we consider the scattering theory for acoustic-type equations on non-compact manifolds with a single flat end. Our main purpose is to show an existence result of non…
math.SP2017
On -coercive interior transmission eigenvalue problems on compact manifolds with smooth boundary
Naotaka Shoji
In this paper, we consider an interior transmission eigenvalue problem on two compact Riemannian manifolds with common smooth boundary. We suppose that a couple of these manifolds…
math.SP2017
Interior transmission eigenvalue problems on compact manifolds with boundary conductivity parameters
Hisashi Morioka, Naotaka Shoji
In this paper, we consider an interior transmission eigenvalue (ITE) problem on some compact -Riemannian manifolds with a common smooth boundary. In particular, these…