Lebesgue and Sobolev spaces with variable exponents / Lars Diening, Petteri Harjulehto, Peter Hästö... [et al.]
Type de document : MonographieCollection : Lecture notes in mathematics, 2017Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2011Description : 1 vol. (IX-509 p.) : fig. ; 24 cmISBN: 9783642183621.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 483-499. Index.Sujet MSC : 46E35, Functional analysis - Linear function spaces and their duals, Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems46E30, Functional analysis - Linear function spaces and their duals, Spaces of measurable functions
42B20, Harmonic analysis on Euclidean spaces, in several variables, Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25, Harmonic analysis on Euclidean spaces, in several variables, Maximal functions, Littlewood-Paley theory
35Q35, PDEs of mathematical physics and other areas of application, PDEs in connection with fluid mechanics
76A05, Fluid mechanics, Non-Newtonian fluidsEn-ligne : Springerlink | Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 46 DIE (Browse shelf(Opens below)) | Available | 12208-01 |
Bibliogr. p. 483-499. Index
The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics. (Source : Springer)
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