Hyperbolic Systems with Analytic Coefficients: Well-posedness of the Cauchy Problem - Couverture souple

Nishitani, Tatsuo

 
9783319022727: Hyperbolic Systems with Analytic Coefficients: Well-posedness of the Cauchy Problem
Couverture souple
ISBN 10 : 3319022725 ISBN 13 : 9783319022727
Editeur : Springer, 2013

Synopsis

This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed:
(A) Under which conditions on lower order terms is the Cauchy problem well posed?
(B) When is the Cauchy problem well posed for any lower order term?
For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2013
Langue
anglais
ISBN 10 
3319022725
ISBN 13 
9783319022727
Reliure
Broché
Nombre de pages
248
Coordonnées du fabricant
non disponible
Personne responsable
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