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Hyperbolic Systems with Analytic Coefficients: Well-posedness of the Cauchy Problem: 2097 (Lecture Notes in Mathematics) - Tapa blanda
Sinopsis
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.
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De la contraportada
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 contains 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.
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Hyperbolic Systems with Analytic Coefficients : Well-posedness of the Cauchy Problem
Publicado por
Springer International Publishing, 2013
ISBN 10: 3319022725
ISBN 13: 9783319022727
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Seiten: 248 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 24328549/12
Cantidad disponible: 1 disponibles
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Hyperbolic Systems with Analytic Coefficients
Librería: Majestic Books, Hounslow, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. pp. 250 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Nº de ref. del artículo: 94567108
Cantidad disponible: 1 disponibles
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Hyperbolic Systems with Analytic Coefficients
Librería: Books Puddle, New York, NY, Estados Unidos de America
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Hyperbolic Systems with Analytic Coefficients
Librería: Biblios, Frankfurt am main, HESSE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. pp. 250. Nº de ref. del artículo: 1897862929
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Hyperbolic Systems with Analytic Coefficients
Publicado por
Springer International Publishing Dez 2013, 2013
ISBN 10: 3319022725
ISBN 13: 9783319022727
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 248 pp. Englisch. Nº de ref. del artículo: 9783319022727
Cantidad disponible: 2 disponibles
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Hyperbolic Systems with Analytic Coefficients : Well-posedness of the Cauchy Problem
Publicado por
Springer International Publishing, Springer International Publishing, 2013
ISBN 10: 3319022725
ISBN 13: 9783319022727
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783319022727
Cantidad disponible: 1 disponibles
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Hyperbolic Systems with Analytic Coefficients: Well-posedness of the Cauchy Problem (Lecture Notes in Mathematics, 2097)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9783319022727_new
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Hyperbolic Systems with Analytic Coefficients
Publicado por
Springer International Publishing, 2013
ISBN 10: 3319022725
ISBN 13: 9783319022727
Nuevo
Kartoniert / Broschiert
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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) Whe. Nº de ref. del artículo: 4496391
Cantidad disponible: Más de 20 disponibles
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Hyperbolic Systems With Analytic Coefficients : Well-posedness of the Cauchy Problem
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
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