In this note, the authors consider a class of linear partial differential operators P((?)) with constant coefficients and prove that the operator P((?)) has Liouville property if and only if the polynomial P(iξ) does...In this note, the authors consider a class of linear partial differential operators P((?)) with constant coefficients and prove that the operator P((?)) has Liouville property if and only if the polynomial P(iξ) doesn't have roots in Rn\{0}.展开更多
基金Supported by the National Natviral Science Foundation of China(10371099).
文摘In this note, the authors consider a class of linear partial differential operators P((?)) with constant coefficients and prove that the operator P((?)) has Liouville property if and only if the polynomial P(iξ) doesn't have roots in Rn\{0}.
