Lebesgue and Sobolev Spaces with Variable Exponents [recurso electrónico] / by Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Ruzicka.

Por: Diening, Lars [author.]Colaborador(es): Harjulehto, Petteri [author.] | Hästö, Peter [author.] | Ruzicka, Michael [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Lecture Notes in Mathematics ; 2017Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: IX, 509p. 10 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642183638Tema(s): Mathematics | Global analysis (Mathematics) | Functional analysis | Differential equations, partial | Mathematics | Analysis | Functional Analysis | Partial Differential EquationsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515 Clasificación LoC:QA299.6-433Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: 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.
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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA299.6 -433 (Browse shelf(Abre debajo)) 1 No para préstamo 375718-2001

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.

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.

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