论文标题
有关局部能量衰减的注释，其潜在的波动方程
A note on local energy decay results for wave equations with a potential
论文作者
论文摘要
在本文中，我们考虑了具有短距离电位的波动方程的局部能量衰减结果。重要的是要注意，与以前的历史论文不同，人们永远不会使用有限的传播属性。分析的基本部分在于获得解决方案本身的L^2键，并得出加权能量估计。在本文中，我们仅使用一种简单的乘数方法来处理可变系数案例，并且不依赖任何分解估计。
In this paper we consider the local energy decay result for wave equations with a short-range potential. It is important to note that one never uses a finite speed of propagation property unlike the historical previous papers. The essential parts of analysis are in getting L^2-bound of the solution itself, and deriving the weighted energy estimates. In this paper we only use a simple multiplier method to treat the variable coefficient case, and do not rely on any resolvent estimates.
