Custom cover image
Custom cover image

Lebesgue and Sobolev Spaces with Variable Exponents / by Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Ruzicka

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 2017Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: Online-Ressource (IX, 509p. 10 illus, digital)ISBN:
  • 9783642183638
Subject(s): Additional physical formats: 9783642183621 | Buchausg. u.d.T.: Lebesgue and Sobolev spaces with variable exponents. Berlin : Springer, 2011. ix, 509 SeitenDDC classification:
  • 515
MSC: MSC: *46-02 | 46E30 | 46E35 | 42-02 | 42B20 | 42B25 | 35Q35 | 76A05 | 76D03RVK: RVK: SI 850 | SK 600LOC classification:
  • QA299.6-433
  • QA323
DOI: DOI: 10.1007/978-3-642-18363-8Online resources: Summary: 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 dynamicsSummary: 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 dynamicsPPN: PPN: 1650844158Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
No physical items for this record
KIT – The Research University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT