Enlarging the functional space of decay estimates on semigroups
Mouhot, Clément (2010), Enlarging the functional space of decay estimates on semigroups. https://basepub.dauphine.fr/handle/123456789/17337
TypeDocument de travail / Working paper
External document linkhttps://hal.archives-ouvertes.fr/hal-00440119/
Series titleCahier de recherche du CEREMADE
MetadataShow full item record
Abstract (EN)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 was first devised in hal-00076709 for the spatially homogeneous Boltzmann equation, and a variant was used in Ref. hal-00124876 in the same context for inelastic collisions. We present a generalized abstract version of it, a short proof of the algebraic core of the method, and a new application to the Fokker-Planck equation. More details and other applications shall be found in the work in preparation Ref.  (another application to quantum kinetic theory can be found in the work in preparation Ref. ).
Subjects / Keywordsspectral gap; exponential decay; semigroup; Fokker-Planck equation; Poincaré inequality
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Carrapatoso, Kleber; Dolbeault, Jean; Hérau, Frédéric; Mischler, Stéphane; Mouhot, Clément (2020) Document de travail / Working paper