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GEVREY-HYPOELLIPTICITY FOR A CLASS OF TOTALLY CHARACTERISTIC OPERATORS
作者姓名:田岩  周迪  陈化
作者单位:Department of Mathematics,Wuhan University,Wuhan 430072,China
摘    要:1IntroductionWeconsidertlietangentialhypoellipticityforaclassoftota-llycl1aracteristicoperatorsinGevreyclass-wherezERndenotesthetangentialvariableandt3oistl1enormalvariable(withtl1eboundaryatt=o),theoperator(1.1)isnoteutirelyhypoelliptic(seeI1]),themaintroublearisesfromthenormalvariablet,becausetheopterator(1.1)l1assinguIarityatf=o.Somanyauthorscon8iderthetangentialhypoellipticity(tl1ati8,thehypoellipticityinx).Therearemanyresultsabouttheellipticoperatorinthisaspect(8ee2-6]).ChenHuastudied…


GEVREY-HYPOELLIPTICITY FOR A CLASS OF TOTALLY CHARACTERISTIC OPERATORS
Tian Yan,Zhou Di,Chen Hua.GEVREY-HYPOELLIPTICITY FOR A CLASS OF TOTALLY CHARACTERISTIC OPERATORS[J].Acta Mathematica Scientia,2000,20(1).
Authors:Tian Yan  Zhou Di  Chen Hua
Abstract:Tkis paper deals with the Gevrey-hypoellipticity for a class of totally characteristic operators with the elliptic condition and the discrete boundary spectrum condition respectively.
Keywords:Totally characteristic operator  Gevrey class  wave front set  tangential hypoellipticity
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