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Titlebook: Hyperbolic Systems with Analytic Coefficients; Well-posedness of th Tatsuo Nishitani Book 2014 Springer International Publishing Switzerlan

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發(fā)表于 2025-3-21 18:54:20 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Hyperbolic Systems with Analytic Coefficients
副標(biāo)題Well-posedness of th
編輯Tatsuo Nishitani
視頻videohttp://file.papertrans.cn/431/430607/430607.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Hyperbolic Systems with Analytic Coefficients; Well-posedness of th Tatsuo Nishitani Book 2014 Springer International Publishing Switzerlan
描述.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..?.
出版日期Book 2014
關(guān)鍵詞35L45,35L40,35L55; Cauchy problem; Hyperbolic systems; Real analytic coefficients; Strongly hyperbolic; W
版次1
doihttps://doi.org/10.1007/978-3-319-02273-4
isbn_softcover978-3-319-02272-7
isbn_ebook978-3-319-02273-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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0075-8434 istics 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..?.978-3-319-02272-7978-3-319-02273-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Necessary Conditions for Strong Hyperbolicity,hat if the multiple characteristic point (., .) is involutive then .(., .) is diagonalizable for . to be strongly hyperbolic which recovers the necessary condition when . is a system with characteristics of constant multiplicity.
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ports the secure sharing of data across different, distributed Hadoop clusters. The software is easily installed and comes with a user-friendly web interface for running, managing, and accessing data sets behind a secure 2-factor authentication. Initial tests have shown that the engine scales well t
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nufacturing of biomedical devices by integrating and formulating different considerations in process design tasks into optimization problems.Provides a broad range of application examples to guide readers through the thinking process of designing and manufacturing biomedical devices, from basic unde
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Introduction,olutions and the bound of the supports at the same time, by steering a course somewhat close to the boundary value problems rather than the initial value problems. We give an example, which would be the simplest one, is not symmetrizable but the Cauchy problem is . . well posed for any lower order t
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