2 papers
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…
eess.SY2025
A complex spatial frequency approach to optimal control of finite-extent linear evolution systems
Zhexian Li, Athanassios S. Fokas, Ketan Savla
We consider the linear quadratic regulator (LQR) for one-dimensional linear evolution partial differential equations (PDEs) on a finite interval in space. The control is applied as…