Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné. (English) Zbl 1239.46001

Demengel, Françoise; Demengel, Gilbert

Universitext. Berlin: Springer (ISBN 978-1-4471-2806-9/pbk; 978-1-4471-2807-6/ebook). xviii, 465 p. (2012).

This book is a faithful translation, by Reinie Erné, of the French edition [Espaces fonctionnels. Utilisation dans la résolution des équations aux dérivées partielles. Les Ulis: EDP Sciences; Paris: CNRS Editions, (2007)]. The French edition has already been reviewed in [Zbl 1159.46001].

Reviewer: Denise Huet (Nancy)

MSC:

46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
35-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
26A45	Functions of bounded variation, generalizations
26B30	Absolutely continuous real functions of several variables, functions of bounded variation
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46Fxx	Distributions, generalized functions, distribution spaces

Citations:

Zbl 1159.46001