9 citations · 32 across the 18 of their papers we have counts for
19 papers
Semiclassical WKB Problem for the non-self-adjoint Dirac operator
Setsuro Fujiié, Nicholas Hatzizisis, Spyridon Kamvissis
We review some recent rigorous results on the semiclassical behavior () of the scattering data of a non-self-adjoint Dirac operator with potential whe…
Infinity of solutions to initial-boundary value problems for linear constant-coefficient evolution PDEs on semi-infinite intervals
Andreas Chatziafratis, Spyridon Kamvissis
In this short communication, we announce an algorithmic procedure for constructing non-uniqueness counter-examples of classical solutions to initial-boundary-value problems for a w…
Continuous dependence on data for linear evolution PDEs on the quarter-plane
Andreas Chatziafratis, Spyridon Kamvissis
In this note, we announce a systematic analysis of continuous dependence on the data in classical spaces for the initial-boundary-value problem of the diffusion equation on the hal…
A note on uniqueness for linear evolution PDEs posed on the quarter-plane
Andreas Chatziafratis, Spyridon Kamvissis
In this paper, we announce a rigorous approach to establishing uniqueness results, under certain conditions, for initial-boundary-value problems for a class of linear evolution par…
Semiclassical WKB Problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential
Setsuro Fujiié, Nicholas Hatzizisis, Spyridon Kamvissis
In this paper we examine the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a rapidly oscillating potential that is complex analytic in som…
On Soliton Resolution for a Lattice
N. Hatzizisis, S. Kamvissis
The soliton resolution conjecture for evolution PDEs of dispersive type states (vaguely) that generic initial data of finite energy give rise asymptotically to a set of receding so…