| 书目名称 | Hyperbolic Systems with Analytic Coefficients |
| 副标题 | Well-posedness of th |
| 编辑 | Tatsuo Nishitani |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 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 |
| 关键词 | 35L45,35L40,35L55; Cauchy problem; Hyperbolic systems; Real analytic coefficients; Strongly hyperbolic; W |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-02273-4 |
| isbn_softcover | 978-3-319-02272-7 |
| isbn_ebook | 978-3-319-02273-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 18:54:20
