Hyperbolic Systems with Analytic Coefficients is popular PDF and ePub book, written by Tatsuo Nishitani in 2013-11-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hyperbolic Systems with Analytic Coefficients can be Read Online from any device for your convenience.
Hyperbolic Systems with Analytic Coefficients Book PDF Summary
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.
Detail Book of Hyperbolic Systems with Analytic Coefficients PDF
- Author : Tatsuo Nishitani
- Release : 19 November 2013
- Publisher : Springer
- ISBN : 9783319022734
- Genre : Mathematics
- Total Page : 245 pages
- Language : English
- PDF File Size : 16,5 Mb
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