2 papers
math.OC2025
The Graph Geometric Control Condition
Kaïs Ammari, Alessandro Duca, Romain Joly +1
In this paper, we introduce a novel concept called the Graph Geometric Control Condition (GGCC). It turns out to be a simple, geometric rewriting of many of the frameworks in which…
math.AP2024
Spectral analysis and best decay rate of the wave propagator on the tadpole graph
Kaïs Ammari, Rachid Assel, Mouez Dimassi
We consider the damped wave semigroup on the tadpole graph . We first give a meticulous spectral analysis, followed by a judicious decomposition of the resolvent's ke…