偏微分算子在超可微函数空间上存在右逆的一个必要条件(英文)A necessary Condition for Partially Differential Operators of Ultra-differentiable Functions of Roumieu Type
吴密景
摘要(Abstract)：
给出了代数簇V(P+Q)满足PL(Rn,{ω})时的一个必要条件。该条件可被用于线性偏微分算子在超微分函数空间ε{ω}是否存在连续性右逆的研究。
关键词(KeyWords)： 右逆;超可微函数
基金项目(Foundation):
作者(Author): 吴密景
参考文献(References)：
- [1]MEISE R,TAYLEOR B A,VOGT D.Characterization of the linear partial d ifferential operatorw ith constant coeffic ients that ad-m it a continuous linear right inverse[J].Ann.Inst.Fourier(G renob le),1990,40:619-655.
- [2]BRAUN R W,MEISE R,TAYLOR B A.A lgebraic Varieties on wh ich the c lassical Phragm′en-L indel of estim ates hold for p lu-risubharmon ic functions[J].M athem atics Z.,1999,232:103-135.
- [3]MEISE R,TAYLOR B A,VOGT D.Phragm′en-Lindel of principles on algebraic varieties[J].J.Amer.Math.Soc.,1998,11:1-39.
- [4]BRAUN R W,MEISE R,TAYLOR B A.Perturbation of d ifferential operators adm itting a continuous linear right inverse on u l-trad istributions[J].Perc ific Journal O fM athem atics,2003,201:25-48.
- [5]BRAUN R W,MEISE R,TAYLOR B A.Characterization of the homogeneous polynom ials P for wh ich(P+Q)(D)adm its acontinuous linear right inverse for all lower order perturbations Q.Pac ific[J].JM ath.,2000,192:201-218.