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math.AP2026
Strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping
Jean-Michel Coron
We construct an explicit strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping and Dirichlet boundary conditions.
math.AP2026
Global boundary stabilization of 1d systems of scalar conservation laws
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We study a system of several one-dimensional scalar conservation laws coupled through boundary feedback conditions that combine physical boundary constraints with static feedback c…