467 citations · 2.6k across the 59 of their papers we have counts for
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math.AP2009
Enlarging the functional space of decay estimates on semigroups
Clément Mouhot
This note briefly presents a new method for enlarging the functional space of a "spectral-gap-like" estimate of exponential decay on a semigroup. A particular case of the method wa…
math.AP2009★ 6 cited
Fractional Poincaré inequalities for general measures
Clément Mouhot, Emmanuel Russ, Yannick Sire
We prove a fractional version of Poincaré inequalities in the context of endowed with a fairly general measure. Namely we prove a control of an norm by a non local qua…
math.AP2009★ 467 cited
On Landau damping
Clément Mouhot, Cédric Villani
Going beyond the linearized study has been a longstanding problem in the theory of Landau damping. In this paper we establish exponential Landau damping in analytic regularity. The…