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math.AP2026
Hypoellipticity on time-periodic space-times
Sandro Coriasco, Perry Kleinhenz, Jared Wunsch
We study the hypoellipticity of operators on a product type Lorentzian manifold where the time variable is periodic. In particular, we prove that hypoellipticity holds for such tim…
math.AP2026
Optimal decay for waves damped by superellipses
B. Achammer, Perry Kleinhenz
Energy decay rates for solutions of the damped wave equation on the torus are known to be influenced by the geometry of the damped set and the growth properties of the damping. In…
math.AP2026
Observability of Schrödinger equations in Euclidean space
Walton Green, Perry Kleinhenz
In this paper we introduce a new dynamical condition, the comb geometric control condition, which is sufficient for observability of the Schrödinger equation in Euclidean space. We…