On the Gevrey wellposedness of the Cauchy problem for weakly hyperbolic equations of 4th order
On the Gevrey wellposedness of the Cauchy problem for weakly hyperbolic equations of 4th order
复制标题
四阶弱双曲方程柯西问题的Gevrey适定性
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
T. Kinoshita
中科院分区：
文献类型：
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作者：
F. Colombini;T. Kinoshita
我们将考虑系数依赖于时间的四阶弱双曲型方程的柯西问题。利用四阶方程的适当能量，导出了精确表示解的导数损失的能量不等式。
We shall consider the Cauchy problem for weakly hyperbolic equations of 4th order with coefficients depending on time. Using the suitable energy of 4th order equations, we derive the energy inequality which shows exactly the derivative loss of the solution.