hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	AMAR, Eric
dc.date.accessioned	2024-04-04T02:55:32Z
dc.date.available	2024-04-04T02:55:32Z
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/192372
dc.description.abstractEn	We study Sobolev estimates for the solutions of parabolic equations acting on a vector bundle, in a complete, compact or non compact, riemannian manifold $M.$ The idea is to introduce geometric weights on $M.$ We get global Sobolev estimates with these weights. As applications, we find and improve "classical results", i.e. results without weights, by use of a Theorem by Hebey and Herzlich. As an example we get Sobolev estimates for the solutions of the heat equation on $p$-forms when the manifold has "weak bounded geometry " of order $1$.
dc.language.iso	en
dc.title.en	Sobolev solutions of parabolic equation in a complete riemannian manifold
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv	1812.04411
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-02505588
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-02505588v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AMAR,%20Eric&rft.genre=preprint

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Sobolev solutions of parabolic equation in a complete riemannian manifold