数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (2): 296-300.

• 论文 • 上一篇    下一篇

LIOUVILLE’S THEOREM FOR LPDO WITH CONSTANT COEFFICIENTS

韩亚洲,罗学宝   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
  • 出版日期:2005-04-20 发布日期:2005-04-20
  • 基金资助:

    Supported by the National Natural Science Foundation of China(10371099).

LIOUVILLE’S THEOREM FOR LPDO WITH CONSTANT COEFFICIENTS

 HAN E-Zhou, LUO Hua-Bao   

  • Online:2005-04-20 Published:2005-04-20
  • Supported by:

    Supported by the National Natural Science Foundation of China(10371099).

Abstract:

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(i) doesn’t have roots in Rn\{0}.

Key words: Liouville property, LPDO with constant coefficients