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 #  AuthorTitleAccn#YearItem Type Claims
1 Christopher D. Sogge Lectures on non-linear wave equations 026215 2013 Book  
2 Christopher D. Sogge Fourier integrals in classical analysis 009923 1993 Book  
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TitleLectures on non-linear wave equations
Author(s)Christopher D. Sogge
Edition2nd ed.
PublicationSomerville, International Press of Boston Inc, 2013.
Descriptionviii, 204p.
Abstract NoteThis much-anticipated revised second edition of Christopher Sogge's 1995 work provides a self-contained 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 Klainerman-Sobolev inequalities and weighted space-time 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 blow-up 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 Christ-Kiselev lemma are given, the material being new in this edition. Using the Strichartz estimates, the critical wave equation in R1 3 is studied.
ISBN,Price9781571462794 : US $39.00(PB)
Classification517.95
Keyword(s)1. HARMONIC ANALYSIS 2. LINEAR WAVE EQUATION 3. PARTIAL DIFFERENTIAL EQUATIONS 4. STRICHARTZ ESTIMATES 5. WAVE EQUATION
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
026215   517.95/SOG/026215  On Shelf    

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TitleFourier integrals in classical analysis
Author(s)Christopher D. Sogge
PublicationCambridge, Cambridge University Press, 1993.
Descriptionx,236pp.
Classification517.518.45
Keyword(s)1. FOURIER INTEGRAL OPERATORS 2. FOURIER SERIES
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
009923   517.518.45/SOG/009923  On Shelf    

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