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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems
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Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems
Michael Beals (Broschiert, Englisch)
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Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
01.11.1989
Sprache
Englisch
EAN
9780817634490
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Progress in Mathematics
Sonderedition
Nein
Autor
Michael Beals
Seitenanzahl
145
Einbandart
Broschiert
Schlagwörter
DEX, Microlocal analysis, character, equation, interaction, online, operator, proof, university, wave, wave equation, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
Höhe
233 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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