Gabor波包与演化算子
Gabor wave packets and evolution operators
摘要:
我们对一大类常系数发展方程进行了Gabor分析。我们发现,相应的传播有一个非常稀疏的Gabor矩阵,显示非对角指数衰减。结果适用于双曲、弱双曲和抛物型方程。给出了一些数值实验。
英文摘要:
We perform a Gabor analysis for a large class of evolution equations with constant coefficients. We show that the corresponding propagators have a very sparse Gabor matrix, displaying off-diagonal exponential decay. The results apply to hyperbolic, weakly hyperbolic and parabolic equations. Some numerical experiments are provided.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。