Levi condition for hyperbolic equations with oscillating coefficients
Levi condition for hyperbolic equations with oscillating coefficients
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DOI：
10.1016/j.jde.2005.06.006
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发表时间：
2006-04
影响因子：
2.4
通讯作者：
F. Hirosawa;M. Reissig
中科院分区：
文献类型：
--
作者：
F. Hirosawa;M. Reissig
在本文中，我们解释了二阶双曲柯西问题的 C∞ 型新 Levi 条件。我们的目标是解释系数振荡的特殊影响。事实证明，这种振荡与多点周围特征的渐近行为相结合具有重要的影响。
In the present paper we explain new Levi conditions of C∞type for second-order hyperbolic Cauchy problems. Our goal is to explain the special influence of oscillations in the coefficients. It turns out that such oscillations have an essential influence coupled with the asymptotic behavior of characteristics around multiple points.