ON SYMMETRIC HYPERBOLIC BOUNDARY PROBLEMS WITH NONHOMOGENEOUS CONSERVATIVE BOUNDARY CONDITIONS

被引：9

作者：

Eller, Matthias ^{[1
]}

机构：

[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2012年 / 44卷 / 03期

关键词：

symmetric hyperbolic systems; conservative boundary conditions; loss of derivatives; MULTIDIMENSIONAL SHOCKS; REGULARITY THEORY; MIXED PROBLEMS; EQUATIONS; SYSTEMS;

D O I：

10.1137/110834652

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Symmetric hyperbolic systems with nonhomogeneous conservative boundary conditions are considered. Existence, uniqueness, and regularity are established for the boundary value problem and the initial-boundary value problem. This boundary problem is not strongly well-posed in L-2, a loss of derivatives is observed. Minimal regularity assumptions on the coefficients of the operator are made.

引用

页码：1925 / 1949

页数：25

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