Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems

Michael Beals

ISBN 10: 0817634495 / ISBN 13: 9780817634490

Verlag: Birkhauser Boston, 1989

Beschreibung

144 pp., HARDCOVER (same isbn), ex library else text clean and binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1302391

Bibliografische Details

Titel: Propagation and Interaction of Singularities...

Verlag: Birkhauser Boston

Erscheinungsdatum: 1989

Einband: Softcover

Zustand: Good

Über diesen Titel

Reseña del editor:

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.