2 papers
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…
math.AP2021
Spectral analysis and stabilization of the dissipative Schrödinger operator on the tadpole graph
Kaïs Ammari, Rachid Assel
We consider the damped Schrödinger semigroup on the tadpole graph . We first give a careful spectral analysis and an appropriate decomposit…