论文标题
在klein-gordon类型方程的波状能量估计上，具有时间相关电位
On the wave-like energy estimates of Klein-Gordon type equations with time dependent potential
论文作者
论文摘要
我们考虑到时间依赖性潜力的条件，在这种情况下，克莱恩 - 戈登型方程的库奇问题的能量渐近地表现得像波方程的能量一样。本文的结论是，条件并不总是由潜在本身的顺序给出，而应由“广义零条件”给出，这是由电势的积分表示的。我们还引入了“广义修改能源保护”，以描述适合我们问题的能量。
We consider the conditions for the time dependent potential in which the energy of the Cauchy problem of Klein-Gordon type equation asymptotically behaves like the energy of the wave equation. The conclusion of this paper is that the condition is not always given by the order of the potential itself, but should be given by "generalized zero mean condition", which is represented by the integral of the potential. We also introduce "generalized modified energy conservation" in order to describe the appropriate energy for our problem.
