9783319022734
IR
EN-52365
انگلیسی
IR
Hyperbolic Systems with Analytic Coefficient
[Book]
:Well-posedness of the Cauchy Problem
/ by Tatsuo Nishitani
Cham
: Springer International Publishing :Imprint: Springer,
, 2014.
VIII, 237 p., online resource.
(Lecture Notes in Mathematics,0075-8434
; 2097)
Electronic
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.
Introduction -- Necessary conditions for strong hyperbolicity -- Two by two systems with two independent variables -- Systems with nondegenerate characteristics -- Index.?╗╣
Lecture Notes in Mathematics,0075-8434
2097
Mathematics
Differential equations, partial
Mathematical physics
Electronic books
E-BOOK
Nishitani, Tatsuo.
SpringerLink (Online service)
ایران
9783319022727.pdf
عادی
عادی
9783319022727.pdf
متن
old catalog
e
BL
1
a
Y
