Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (2): 296-300.

• Articles • Previous Articles     Next Articles

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

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