On Symmetric Hyperbolic Boundary Problems with Nonhomogeneous Conservative Boundary Conditions
On Symmetric Hyperbolic Boundary Problems with Nonhomogeneous Conservative Boundary Conditions
复制标题
关于非齐次保守边界条件的对称双曲边界问题
DOI：
10.1137/110834652
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
M. Eller
中科院分区：
文献类型：
--
作者：
M. Eller
考虑了具有非齐次保守边界条件的对称双曲型方程组。建立了边值问题和初边值问题解的存在性、唯一性和正则性。该边值问题在L_2 $中不是强适定的，并且存在导数损失。对算子的系数作了最小正则性假设。
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.