Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems

Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems
Author :
Publisher : Springer Science & Business Media
Total Pages : 153
Release :
ISBN-10 : 9781461245544
ISBN-13 : 1461245540
Rating : 4/5 (44 Downloads)

Book Synopsis Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems by : Michael Beals

Download or read book Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems written by Michael Beals and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. Its purpose is to give an overview of the use of microlocal analysis and commutators in the study of solutions to nonlinear wave equations. The weak singularities in the solutions to such equations behave up to a certain extent like those present in the linear case: they propagate along the null bicharacteristics of the operator. On the other hand. examples exhibiting singularities not present in the linear case can also be constructed. I have tried to present a crossection of both the regularity results and the singular examples. for problems on the interior of a domain and on domains with boundary. The main emphasis is on the case of more than one space dimen sion. since that case is treated in great detail in the paper of Rauch-Reed 159]. The results presented here have for the most part appeared elsewhere. and are the work of many authors. but a few new examples and proofs are given. I have attempted to indicate the essential ideas behind the arguments. so that only some of the results are proved in full detail. It is hoped that the central notions of the more technical proofs appearing in research papers will be illuminated by these simpler cases.


Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems Related Books

Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems
Language: en
Pages: 153
Authors: Michael Beals
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. Its purpose
Nonlinear Hyperbolic Equations and Field Theory
Language: en
Pages: 242
Authors: M K V Murthy
Categories: Mathematics
Type: BOOK - Published: 1992-03-30 - Publisher: CRC Press

DOWNLOAD EBOOK

Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.
Symbolic Calculus Semilinear Hyperbolic Progressing Waves
Language: en
Pages: 122
Authors: Hassane Bougrini
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Nova Publishers

DOWNLOAD EBOOK

The main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal singularities of semilin
Analysis of Singularities for Partial Differential Equations
Language: en
Pages:
Authors:
Categories:
Type: BOOK - Published: - Publisher:

DOWNLOAD EBOOK

Nonlinear Wave Equations
Language: en
Pages: 297
Authors: Satyanad Kichenassamy
Categories: Mathematics
Type: BOOK - Published: 2021-05-30 - Publisher: CRC Press

DOWNLOAD EBOOK

This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effe