Free shipping on orders over $49 - Limited time only - T&Cs apply
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $49
Hyperboloidal Foliation Method, The : Series In Applied And Computational Mathematics : Book 2 - Yue Ma

Hyperboloidal Foliation Method, The

By: Yue Ma, Philippe G Lefloch

eText | 27 November 2014

At a Glance

eText

$45.10

or 4 interest-free payments of $11.28 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

The “Hyperboloidal Foliation Method” introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems.

Contents:
  • Introduction
  • The Hyperboloidal Foliation and the Bootstrap Strategy
  • Decompositions and Estimates for the Commutators
  • The Null Structure in the Semi-Hyperboloidal Frame
  • Sobolev and Hardy Inequalities on Hyperboloids
  • Revisiting Scalar Wave Equations
  • Fundamental L∞ and L2 Estimates
  • Second-Order Dervatives of the Wave Components
  • Null Forms and Decay in Time
  • L2 Estimate on the Interaction Terms
  • The Local Well-Posedness Theory
  • Bibliography

Readership: Graduate students and researchers in analysis and differential equations. This book could serve as part of graduate course on nonlinear wave equations.
on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionMathematicsCalculus & Mathematical AnalysisDifferential Calculus & Equations

More in Differential Calculus & Equations

Calculus of Variations - Filip Rindler

eTEXT

Calculus of Variations

eText

$84.99

This product is categorised by