Note on the wave equation and tensor products

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摘要

In this study we apply convolution and tensor products of distribution to solve the non-homogenous wave equation with initial condition and discuss the uniqueness and continuity of solution. We also show that the tensor product can be applied to compute the some singular integrals.

论文关键词:Convolution product,Tensor product,Fundamental solution,Non-homogenous equation,Distribution,Delta function

论文评审过程:Available online 3 February 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.01.060