On Maximal L^p-regularity
Résumé
The aim of this paper is to propose weak assumptions to prove maximal L^q regularity for Cauchy problem~: du/dt - Lu(t)=f(t). Mainly we only require ''off-diagonal'' estimates on the real semigroup (e^{tL})_{t>0} to obtain maximal L^q regularity. The main idea is to use a one kind of Hardy space H^1 adapted to this problem and then use interpolation results. These techniques permit us to prove weighted maximal regularity too.
Domaines
Analyse classique [math.CA]
Origine : Fichiers produits par l'(les) auteur(s)
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