Sobolev spaces on Riemannian manifolds / Emmanuel Hebey.

Format:

Book

Author/Creator:

Hebey, Emmanuel, 1964-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1635.

Lecture notes in mathematics ; 1635

Language:

English

Subjects (All):

Sobolev spaces.

Riemannian manifolds.

Physical Description:

x, 115 pages ; 24 cm.

Place of Publication:

Berlin ; New York : Springer-Verlag, 1996.

Summary:

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.

Notes:

Includes bibliographical references (pages [106]-113) and indexes.

ISBN:

3540617221

OCLC:

35318497