Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
复制标题
使用能量估计的调和爱因斯坦方程的适定初始边值问题
DOI：
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发表时间：
2007
影响因子：
3.5
通讯作者：
J. Winicour
中科院分区：
文献类型：
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作者：
H. Kreiss;Oscar A. Reula;O. Sarbach;J. Winicour
在最近的工作中，我们利用伪微分理论建立了二阶波动方程组初边值问题在广义意义下强适定的条件。应用程序包括爱因斯坦方程的谐波版本。在这里，我们表明，这些结果也可以通过标准的能量估计，从而建立强适定性的调和爱因斯坦问题在经典意义上。
In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary value problem for second-order systems of wave equations be strongly well-posed in a generalized sense. The applications included the harmonic version of the Einstein equations. Here we show that these results can also be obtained via standard energy estimates, thus establishing strong well-posedness of the harmonic Einstein problem in the classical sense.