%0 Journal Article
%T A NECESSARY CONDITION FOR ANALYTIC HYPOELLIPTIC PSEUDO-HOMOGENEOUS PARTIAL DIFFERENTIAL OPERATORS<br>拟齐次解析亚椭圆偏微分算子的一个必要条件
%A Xue Bo LUO
%A Yu Lan MA
%A <br>罗学波
%A 马玉兰
%J 系统科学与数学
%D 1999
%I 
%X This paper gives a necessary condition for a linear partial differential operator P(x,D), which is homogeneous with respect to some dilations, to be analytic hypoelliptic at the origin as follows: Assume u implied by S'_(#mu#,#lambda#)(R~n)(for S'_(#mu#,#lambda#)R~n, see Introduction) and Pu=0. Then there exists an entire function v satisfying Pv=0 where v is consistent with u in some neighborhood of x=0.
%K Pseudo-homogeneous
%K linear partial differential operator
%K analytic-hypoellipticity
%K real analysis<br>拟齐次线性偏微分算子
%K 解析亚椭圆性
%K 实解析
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=DE89594246BBA095&yid=B914830F5B1D1078&vid=2A8D03AD8076A2E3&iid=CA4FD0336C81A37A&sid=10886C0681CB8991&eid=18DA95D390AEC3F9&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0