3 options
Hyperbolic Systems with Analytic Coefficients : Well-posedness of the Cauchy Problem / by Tatsuo Nishitani.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Nishitani, Tatsuo, 1950- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2097.
- Lecture Notes in Mathematics, 0075-8434 ; 2097
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Mathematical physics.
- Partial Differential Equations.
- Mathematical Methods in Physics.
- Local Subjects:
- Partial Differential Equations.
- Mathematical Methods in Physics.
- Physical Description:
- 1 online resource (VIII, 237 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2014.
- System Details:
- text file 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 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. .
- Contents:
- Introduction
- Necessary conditions for strong hyperbolicity
- Two by two systems with two independent variables
- Systems with nondegenerate characteristics
- Index.
- Other Format:
- Printed edition:
- ISBN:
- 9783319022734
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.