The Cauchy problem for higher-order linear partial differential equation

Guangqing Bi, Yuekai Bi

For the linear partial differential equation $P({\partial }_x,{\partial }_t)u=f(x,t)$, where $x\in {\mathbb{R}}^n,t\in {\mathbb{R}}^1$, with $P({\partial }_x,{\partial }_t)$ is $\prod^m_{i=1}(\fra…