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Author  Title  Accn#  Year  Item Type  Claims 
1 
Christopher D. Sogge 
Lectures on nonlinear wave equations 
026215 
2013 
Book 


1.
 
Title  Lectures on nonlinear wave equations 
Author(s)  Christopher D. Sogge 
Edition  2nd ed. 
Publication  Somerville, International Press of Boston Inc, 2013. 
Description  viii, 204p. 
Abstract Note  This muchanticipated revised second edition of Christopher Sogge's 1995 work provides a selfcontained account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. Sogge examines quasilinear equations with small data where the KlainermanSobolev inequalities and weighted spacetime estimates are introduced to prove global existence results. New simplified arguments are given in the current edition that allow one to handle quasilinear systems with multiple wave speeds. The next topic concerns semilinear equations with small initial data. John's existence theorem for R1 3 is discussed with blowup problems and some results for the spherically symmetric case. After this, general Strichartz estimates are treated. A proof of the endpoint Strichartz estimates of Keel and Tao and the ChristKiselev lemma are given, the material being new in this edition. Using the Strichartz estimates, the critical wave equation in R1 3 is studied. 
ISBN,Price  9781571462794 : US $39.00(PB) 
Classification  517.95

Keyword(s)  1. HARMONIC ANALYSIS
2. LINEAR WAVE EQUATION
3. PARTIAL DIFFERENTIAL EQUATIONS
4. STRICHARTZ ESTIMATES
5. WAVE EQUATION

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026215 

517.95/SOG/026215 
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