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...

Descripción completa

Detalles Bibliográficos
Autor principal: Cruz-Uribe, David (-)
Autor Corporativo: SpringerLink (-)
Otros Autores: Fiorenza, Alberto, Ruzhansky, Michael, Wirth, Jens, Tikhonov, Sergey
Formato: Libro electrónico
Idioma:Inglés
Publicado: Basel : Springer Basel 2014.
Colección:Advanced Courses in Mathematics, CRM Barcelona.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32916292*spi
Tabla de Contenidos:
  • 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.    .