Lebesgue and Sobolev Spaces with Variable Exponents

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 ti...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Diening, Lars (Autor), Harjulehto, Petteri (Autor), Hästö, Peter (Autor), Ruzicka, Michael (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Lecture Notes in Mathematics, 2017
Temas:
Mathematical analysis.
Functional analysis.
Differential equations.
Analysis.
Functional Analysis.
Differential Equations.
Acceso en línea:Texto Completo

MARC

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100 1 |a Diening, Lars.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Lebesgue and Sobolev Spaces with Variable Exponents  |h [electronic resource] /  |c by Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Ruzicka. 
250 |a 1st ed. 2011. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2011. 
300 |a IX, 509 p. 10 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2017 
505 0 |a 1 Introduction -- 2 A framework for function spaces -- 3 Variable exponent Lebesgue spaces -- 4 The maximal operator -- 5 The generalized Muckenhoupt condition* -- 6 Classical operators -- 7 Transfer techniques -- 8 Introduction to Sobolev spaces -- 9. Density of regular functions -- 10. Capacities -- 11 Fine properties of Sobolev functions -- 12 Other spaces of differentiable functions -- 13 Dirichlet energy integral and Laplace equation -- 14 PDEs and fluid dynamics. 
520 |a 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. 
650 0 |a Mathematical analysis. 
650 0 |a Functional analysis. 
650 0 |a Differential equations. 
650 1 4 |a Analysis. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Differential Equations. 
700 1 |a Harjulehto, Petteri.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Hästö, Peter.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Ruzicka, Michael.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783642183621 
776 0 8 |i Printed edition:  |z 9783642183645 
830 0 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2017 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-642-18363-8  |z Texto Completo 
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912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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