Description
Lebesgue and Sobolev Spaces with Variable Exponents, 2011
Lecture Notes in Mathematics Series, Vol. 2017
Authors: Diening Lars, Harjulehto Petteri, Hästö Peter, Ruzicka Michael
Language: English89.66 €
In Print (Delivery period: 15 days).
Add to cart the book of Diening Lars, Harjulehto Petteri, Hästö Peter, Ruzicka Michael
Publication date: 03-2011
509 p. · 15.5x23.5 cm · Paperback
509 p. · 15.5x23.5 cm · Paperback
Description
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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.
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
First book in the area of research
Self-contained presentation suitable for both graduate students and researchers
Comprehensive book with extensive index and nomenclature
Applications for the developed theory is presented in the book
Includes supplementary material: sn.pub/extras
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