Hyperbolic Systems with Analytic Coefficients

Name: Hyperbolic Systems with Analytic Coefficients
Brand: Springer International Publishing AG
SKU: 9783319022727
Price: 213.09 PLN
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Well-posedness of the Cauchy Problem

Autor: Tatsuo Nishitani

Język:

Oprawa: Miękka

Wydawca: Springer International Publishing AG

Dostępność: Dostępna u dostawcy

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This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems wit...

Informacje o książce

Autor

Tatsuo Nishitani

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2013

strony

237

EAN

9783319022727

ISBN

3319022725

Enbook ID

02075027

Wydawca

Springer International Publishing AG

Waga

364

Wymiary

158 x 231 x 13

Pełny opis

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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Hyperbolic Systems with Analytic Coefficients

Well-posedness of the Cauchy Problem

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