Close
Enter your search into one or more of the boxes below:
You can refine your search by selecting from any of the options below:
Search
Variable Lebesgue Spaces and Hyperbolic Systems

Variable Lebesgue Spaces and Hyperbolic Systems (Paperback)

£22.99
Printed to order. Despatched in 2-3 weeks.
Email me when back in stock

Synopsis

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 with the constant exponent replaced by an exponent function. These spaces arise naturally from the study of partial differential equations and variational integrals with non-standard growth conditions. They have applications to electrorheological fluids in physics and to image reconstruction. After an introduction that sketches history and motivation, the authors develop the function space properties of variable Lebesgue spaces; proofs are modeled on the classical theory. Subsequently, the Hardy-Littlewood maximal operator is discussed. In the last chapter, other operators from harmonic analysis are considered, such as convolution operators and singular integrals. The text is mostly self-contained, with only some more technical proofs and background material omitted.

Part 2 gives an overview of the asymptotic properties of solutions to hyperbolic equations and systems with time-dependent coefficients. First, an overview of known results is given for general scalar hyperbolic equations of higher order with constant coefficients. Then strongly hyperbolic systems with time-dependent coefficients are considered. A feature of the described approach is that oscillations in coefficients are allowed. Propagators for the Cauchy problems are constructed as oscillatory integrals by working in appropriate time-frequency symbol classes. A number of examples is considered and the sharpness of results is discussed. An exemplary treatment of dissipative terms shows how effective lower order terms can change asymptotic properties and thus complements the exposition.

Science & MathematicsMathematicsCalculus & mathematical analysisIntegral calculus & equations Publisher: Springer Basel Publication Date: 23/07/2014 ISBN-13: 9783034808392  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

More books by David V. Cruz-Uribe

More books by Alberto Fiorenza

More books by Michael V. Ruzhansky

More books by Jens Wirth

More books by Sergey Tikhonov

Leave Review

Delivery

Delivery Options

All delivery times quoted are the average, and cannot be guaranteed. These should be added to the availability message time, to determine when the goods will arrive. During checkout we will give you a cumulative estimated date for delivery.

Location 1st Book Each additional book Average Delivery Time
UK Second Class Available free for ALL orders. No charge for each additional book. 3-7 Days
UK First Class £4.50 £1.00 1-2 Days
UK Courier £7.00 £1.00 1-2 Days
Western Europe** Courier £17.00 £3.00 2-3 Days
Western Europe** Airmail £5.00 £1.50 4-14 Days
USA / Canada Courier £20.00 £3.00 2-4 Days
USA / Canada Airmail £7.00 £3.00 4-14 Days
Rest of World Courier £22.50 £3.00 3-6 Days
Rest of World Airmail £8.00 £3.00 7-21 Days

** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland.

Delivery Help & FAQs

Returns Information

If you are not completely satisfied with your purchase*, you may return it to us in its original condition with in 30 days of receiving your delivery or collection notification email for a refund. Except for damaged items or delivery issues the cost of return postage is borne by the buyer. Your statutory rights are not affected.

* For Exclusions and terms on damaged or delivery issues see Returns Help & FAQs

You might also like

Fractional and Multivariable ...
(Hardback)
A. M. Mathai; H. J. Haubold
 
 
£42.99
 
Newton's Method: an Updated Approach...
(Paperback)
Jose Antonio Ezquerro Fernandez;...
 
 
£42.99
 
Lectures on Functional Analysis and...
(Paperback)
Vilmos Komornik
 
 
£39.99
 
Volterra Integral Equations: An...
(Hardback)
Hermann Brunner
 
 
£69.99
 
Latest Blog
#FoylesFive: Pre-Orders
21/08/2017

We all know a good book is worth the wait. But the waiting is also really hard when you’re dying to read that hotly anticipated thriller or the latest volume of a great series. Here at Foyles we’ve got you covered.

ZED Books: The role of the independent publisher in a content-obsessed world
18/08/2017

Indie publisher ZED Books have a radical approach to their books and their company structure. Here, they talk to us about the role independent publishers can play in a world of ever expanding (and less than reliable) information sources.

Blog - J R Wallis on Monsters as Metaphors
16/08/2017

J R Wallis questions the conventional view of monsters as metaphors for the worries we have about the state of the world around us.

View all Blog Entries
Twitter
Show/Hide Tweets
© W&G Foyle Ltd