On Maximal L^p-regularity

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dc.creatorBernicot, Frédéric
dc.creatorZhao, Jiman
dc.date2009-02-16
dc.date.accessioned2026-07-07T12:42:16Z
dc.date.available2026-07-07T12:42:16Z
dc.descriptionThe 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0902.2691
dc.identifierhttp://arxiv.org/abs/0902.2691
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220018
dc.subjectClassical Analysis and ODEs
dc.subject42B25; 42B30; 42B35; 46M35
dc.titleOn Maximal L^p-regularity
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