Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems

Language: English

Published by Birkhäuser, Birkhäuser Nov 1989, 1989

0817634495 / 9780817634490

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 160 pp. Englisch.

Seller Inventory # 9780817634490

Title
Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems
Author
Michael Beals
Publisher
Birkhäuser, Birkhäuser Nov 1989
Publication year
1989
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0817634495
ISBN 13
9780817634490
Item weight
254 grams
Dimensions
235x155x9 mm

buchversandmimpf2000

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