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math.AP2021
Gains of integrability and local smoothing effects for quadratic evolution equations
Paul Alphonse, Joackim Bernier
We characterize geometrically the semigroups generated by non-selfadjoint quadratic differential operators enjoying local smoothing effects and providing ga…
math.AP2021
Stabilization and approximate null-controllability for a large class of diffusive equations from thick control supports
Paul Alphonse, Jérémy Martin
We prove that the thickness property is a necessary and sufficient geometric condition that ensures the (rapid) stabilization or the approximate null-controllability with uniform c…