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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…