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math.AP2024
The principal eigenvalue problem for time-periodic nonlocal equations with drift
Bertrand Cloez, Adil El Abdouni, Pierre Gabriel
In this work, we consider a general time-periodic linear transport equation with integral source term. We prove the existence of a Floquet principal eigenvalue, namely a real numbe…
math.AP2012★ 2 cited
Optimal growth for linear processes with affine control
Vincent Calvez, Pierre Gabriel
We analyse an optimal control with the following features: the dynamical system is linear, and the dependence upon the control parameter is affine. More precisely we consider $\dot…