3 papers
math.SP2026
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 w…
math.AP2026
The Focusing NLS Equation on the Half-Line with Periodic Boundary Conditions
S. Kamvissis, A. S. Fokas
We consider the Dirichlet problem for the focusing NLS equation on the half-line, with given Schwartz initial data and boundary data equal to an exponentially decaying per…
math.AP2025
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…