Global classical solutions to a kind of mixed initial-boundary value problem for inhomogeneous quasilinear hyperbolic systems

被引：0
作者：
Yong-Fu Yang
机构：
[1] Hohai University,Department of Mathematics, College of Sciences
来源：
Applications of Mathematics | 2012年 / 57卷
关键词：
quasilinear hyperbolic system; mixed initial-boundary value problem; global classical solution; weak linear degeneracy; matching conditon; 35L50;
D O I：
暂无
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学科分类号：
摘要：
In this paper, the mixed initial-boundary value problem for inhomogeneous quasilinear strictly hyperbolic systems with nonlinear boundary conditions in the first quadrant {(t, x): t ⩾ 0, x ⩽ 0} is investigated. Under the assumption that the right-hand side satisfies a matching condition and the system is strictly hyperbolic and weakly linearly degenerate, we obtain the global existence and uniqueness of a C1 solution and its L1 stability with certain small initial and boundary data.
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页码：231 / 261
页数：30
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