Initial boundary value problems for hyperbolic systems

Initial boundary value problems for hyperbolic systems
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DOI:
10.1002/cpa.3160230304
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发表时间:
1970-05
影响因子:
3
通讯作者:
H. Kreiss
H. Kreiss
中科院分区:
数学1区
文献类型:
--
作者:
H. Kreiss

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考虑一阶实系数常数偏微分方程组。这里u(x,t)=(Dl)(Xjt),-.-,u(“)(x,t))L是实变量(x,t)=(xl,*-,x,t)的向量函数,A,B是n阶常数方阵。我们假设(1.1)是严格双曲的,定义如下:
Consider a first order system of partial differential equations with constant real coefficients. Here u (x, t)=(dl)(xJ t),-.-, u (")(x, t)) l is a vector function of the real variables (x, t)=(xl,*-, x,, t) and A, Bi are constant square matrices of order n. We assume that (1.1) is strictly hyperbolic, defined in the following way: