Lars Diening,
Petteri Harjulehto,
Peter Hästö,
Michael Ruzicka
e.a.
Springer Berlin Heidelberg
2011e druk, 2011
9783642183621
Lebesgue and Sobolev Spaces with Variable Exponents
Specificaties
Paperback, 509 blz.
|
Engels
Springer Berlin Heidelberg |
2011e druk, 2011
ISBN13: 9783642183621
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783642183621
Taal:Engels
Bindwijze:paperback
Aantal pagina's:509
Uitgever:Springer Berlin Heidelberg
Druk:2011
Inhoudsopgave
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