Last edited by Vudoramar
Monday, August 3, 2020 | History

5 edition of Lectures on Nonlinear Wave Equations (Monographs in Analysis) found in the catalog.

Lectures on Nonlinear Wave Equations (Monographs in Analysis)

by Christopher D. Sogge

  • 358 Want to read
  • 17 Currently reading

Published by Intl Pr .
Written in English

    Subjects:
  • Calculus & mathematical analysis,
  • Non-linear science,
  • Science / Mathematics,
  • Science/Mathematics

  • The Physical Object
    FormatHardcover
    Number of Pages155
    ID Numbers
    Open LibraryOL12201620M
    ISBN 101571460322
    ISBN 109781571460325

    Request PDF | On Jan 1, , Christopher D. Sogge published Lectures on nonlinear wave equations | Find, read and cite all the research you need on ResearchGate. The obtained equation is the non-normalized form of the in nonlinear physics (not only nonlinear optics!) often encountered nonlinear Schrödinger equation (or NLSE, as its common acronym yields). For a discussion on the transformation that cast the nonlinear Schrödinger equation into its normalized form, see Butcher and Cotter, page

    This introduction to the theory of nonlinear hyperbolic differential equations, a revised and extended version of widely circulated lecture notes from , starts from a very elementary level with standard existence and uniqueness theorems for ordinary differential equations, but they are at once supplemented with less well-known material, required later on. This revised second edition of Christopher Sogge's 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.

    This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the . Lectures on non-linear wave equations. [Somerville, MA]: International Press, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Christopher D Sogge.


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Lectures on Nonlinear Wave Equations (Monographs in Analysis) by Christopher D. Sogge Download PDF EPUB FB2

Lectures on Non-Linear Wave Equations, Second Edition Hardcover – J by Christopher D. Sogge (Johns Hopkins University) (Author)Author: Christopher D.

Sogge (Johns Hopkins University). Lectures on Non-Linear Wave Equations. Presents an account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential :   Lectures on Non-Linear Wave Equations, Second Edition: Sogge, Christopher D.: : Books.

Flip to back Flip to front. Listen Playing Paused You're listening to a sample of the Audible audio edition. Learn : Christopher D. Sogge. This book, based on lectures presented by the author at George Mason University in Januaryseeks to present the sharpest results to date in this author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks/5(2).

Christopher D. Sogge This work presents three types of problems in the theory of nonlinear wave equations that have varying degrees of non-trivial overlap with harmonic analysis. The author discusses results including existence for certain quasilinear wave equations and for semilinear wave equations.

Moreover, the asymptotic behavior of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations.

Download lectures on nonlinear wave equations or read online books in PDF, EPUB, Tuebl, Lectures on Nonlinear Wave Equations book Mobi Format. Click Download or Read Online button to get lectures on nonlinear wave equationsbook now.

This site is like a library, Use search box in the widget to get ebook that you want. Lectures On Non Linear Wave Equations. This book, based on lectures presented by the author at George Mason University in Januaryseeks to present the sharpest results to date in this area. The author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks.

H omander, Lars, Lectures on nonlinear hyperbolic di erential equations, Math ematiques & Applications, 26, Springer, Sogge, Christopher D, Lectures on nonlinear wave equations, Monographs in Analysis, II.

International Press, More references will be added during lectures. A basic non-linear wave equation The solution f and g correspond to the two factors when equation () is written as ∂ ∂t +c0 ∂ ∂t.

∂ ∂t −c0 ∂ ∂x. φ= 0. While equation () is simple to handle it would be given simpler if only one of the factors occurred, and we had, for example, ∂φ ∂t +c0 ∂φ ∂x = 0, with the.

the nonlinear wave equation is the linear wave equation utt c2uxx = 0 under the assumption that the speed of sound cdepends on the solution uas well.

Now for the advection equation, the solution, being a single wave u(x;t) = f(x ct) moving to the right, is constant along curves x ct= const. Download lectures on non linear wave equations or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get lectures on non linear wave equations book now.

This site is like a library, Use search box in the widget to get ebook that you want. Lectures On Non Linear Wave Equations. be described by partial differential equations (PDE). The purpose of these lecture notes is to give an introduction to various kinds of PDE describing waves. In particular we will focus on nonlinear equations.

In this chapter we introduce some basic concepts and give an overview of the contents of the lecture notes.

Linear waves Sinusoidal waves. The notes are updated quite frequently as the lectures progress - please check the website for updates.

Also, I would appreciate any comments or corrections. In this course, we consider nonlinear wave equations. This can take the form of a scalar equation or a system of equations. A scalar wave equation takes the form Xn ; =0 1 p detg @ (p. Description. This revised second edition of Christopher Sogge’s 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.

This revised second edition of Christopher Sogge's 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 : Paperback. Lectures on the Energy Critical Nonlinear Wave Equation About this Title.

Carlos E. Kenig, University of Chicago, Chicago, IL. Publication: CBMS Regional Conference Series in Mathematics. Lectures on Non-Linear Wave Equations, 2nd Edition Christopher D.

Sogge (Johns Hopkins University) PREFACE TO THE SECOND EDITION In the dozen years since I wrote the flrst edition of this book, there have been many important developments in the subject of nonlinear wave equations.

Since I wanted the book to remain one that could be reason. Cite this chapter as: Kruskal M. () Nonlinear wave equations. In: Moser J. (eds) Dynamical Systems, Theory and Applications. Lecture Notes in Physics, vol   The second part of the monograph describes the “channel of energy” method, introduced by T.

Duyckaerts, C. Kenig, and F. Merle, to study soliton resolution for nonlinear wave equations. This culminates in a presentation of the proof of the soliton resolution conjecture for the three-dimensional radial focusing energy critical wave equation.

Carlos E. Kenig, "Lectures on the Energy Critical Nonlinear Wave Equation" English | | pages: | ISBN: | PDF | 1,7 mb.This work presents three types of problems in the theory of nonlinear wave equations that have varying degrees of non-trivial overlap with harmonic analysis.

The author discusses results including. existence for certain quasilinear wave equations and for semilinear wave equations.Lectures on Nonlinear Hyperbolic Differential Equations - Lars Hörmander - Google Books. In this introductory textbook, a revised and extended version of well-known lectures by L.

Hörmander from 4/5(1).