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math.AP2026
Blow-up, decay, and convergence to equilibrium for focusing damped cubic Klein-Gordon and Duffing equations
Thomas Perrin
We study long-time dynamics of the damped focusing cubic Klein-Gordon equation on a compact three-dimensional Riemannian manifold, together with its space-independent reduction, th…
math.AP2025
Local controllability around a regular solution and null-controllability of scattering solutions for semilinear wave equations
Thomas Perrin
On a Riemannian manifold with or without boundary, and whether bounded or unbounded, we consider a semilinear wave (or Klein-Gordon) equation with a subcritical nonlinearity (eithe…