Variable Lebesgue Spaces and Hyperbolic Systems

• Κύριοι συγγραφείς: Cruz-Uribe, David (Συγγραφέας), Fiorenza, Alberto (Συγγραφέας), Ruzhansky, Michael (Συγγραφέας), Wirth, Jens (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Tikhonov, Sergey (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
• Σειρά: Advanced Courses in Mathematics - CRM Barcelona,
• Θέματα: Mathematics.; Integral equations.; Partial differential equations.; Special functions.; Partial Differential Equations.; Integral Equations.; Special Functions.

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...

Πίνακας περιεχομένων:

• 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.    .