LOCAL SOLVABILITY OF AN INITIAL BOUNDARY VALUE PROBLEM FOR A QUASILINEAR HYPERBOLIC-PARABOLIC SYSTEM
LOCAL SOLVABILITY OF AN INITIAL BOUNDARY VALUE PROBLEM FOR A QUASILINEAR HYPERBOLIC-PARABOLIC SYSTEM
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DOI：
10.1142/s0219891606000768
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发表时间：
2006-06
影响因子：
0.7
通讯作者：
Y. Kagei;S. Kawashima
中科院分区：
文献类型：
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作者：
Y. Kagei;S. Kawashima
本文研究由输运方程和强抛物线系统组成的拟线性双曲-抛物线系统初始边值问题的可解性。假设输运方程的特征在域的边界上向外。解的唯一局部（时间）存在性在具有 Hs 值的连续函数类中显示，其中 s 是满足 s ≥ [n/2]+1 的整数。
This paper investigates the solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system which consists of a transport equation and strongly parabolic system. The characteristics of the transport equation are assumed to be outward on the boundary of the domain. The unique local (in time) existence of solutions is shown in the class of continuous functions with values in Hs, where s is an integer satisfying s ≥ [n/2]+1.