Sobolev spaces on Riemannian manifolds

Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessar...

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Detalles Bibliográficos
Autor principal: Hebey, Emmanuel
Lenguaje:eng
Publicado: Springer 1996
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/BFb0092907
http://cds.cern.ch/record/1691692
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author Hebey, Emmanuel
author_facet Hebey, Emmanuel
author_sort Hebey, Emmanuel
collection CERN
description Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds. Hebey's presentation is very detailed, and includes the most recent developments due mainly to the author himself and to Hebey-Vaugon. He makes numerous things more precise, and discusses the hypotheses to test whether they can be weakened, and also presents new results.
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spelling cern-16916922021-04-21T21:07:51Zdoi:10.1007/BFb0092907http://cds.cern.ch/record/1691692engHebey, EmmanuelSobolev spaces on Riemannian manifoldsMathematical Physics and MathematicsSeveral books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds. Hebey's presentation is very detailed, and includes the most recent developments due mainly to the author himself and to Hebey-Vaugon. He makes numerous things more precise, and discusses the hypotheses to test whether they can be weakened, and also presents new results.Springeroai:cds.cern.ch:16916921996
spellingShingle Mathematical Physics and Mathematics
Hebey, Emmanuel
Sobolev spaces on Riemannian manifolds
title Sobolev spaces on Riemannian manifolds
title_full Sobolev spaces on Riemannian manifolds
title_fullStr Sobolev spaces on Riemannian manifolds
title_full_unstemmed Sobolev spaces on Riemannian manifolds
title_short Sobolev spaces on Riemannian manifolds
title_sort sobolev spaces on riemannian manifolds
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0092907
http://cds.cern.ch/record/1691692
work_keys_str_mv AT hebeyemmanuel sobolevspacesonriemannianmanifolds

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