Variable Lebesgue Spaces and Hyperbolic Systems

This book targets graduate students and researchers who want to learn about Lebesgue spaces and solutions to hyperbolic equations. It is divided into two parts. Part 1 provides an introduction to the theory of variable Lebesgue spaces: Banach function spaces like the classical Lebesgue spaces but wi...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Cruz-Uribe, David (Author), Fiorenza, Alberto (Author), Ruzhansky, Michael (Author), Wirth, Jens (Author)
Corporate Author: SpringerLink (Online service)
Other Authors: Tikhonov, Sergey (Editor)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
Edition:1st ed. 2014.
Series:Advanced Courses in Mathematics - CRM Barcelona,
Subjects:
Differential equations.
Integral equations.
Special functions.
Differential Equations.
Integral Equations.
Special Functions.
Online Access:Texto Completo
Table of Contents:
  • Part I: Introduction to the Variable Lebesgue Spaces
  • Introduction and motivation
  • Properties of variable Lebesgue spaces
  • The Hardy-Littlewood maximal operator
  • Extrapolation in variable Lebesgue spaces
  • Part II: Asymptotic Behaviour of Solutions to Hyperbolic Equations and Systems
  • Equations with constant coefficients
  • Some interesting model cases
  • Time-dependent hyperbolic systems
  • Effective lower order perturbations
  • Examples and counter-examples
  • Related topics.    .

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