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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) 被引量:1

A necessary Condition for Partially Differential Operators of Ultra-differentiable Functions of Roumieu Type
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摘要 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。 In this paper, a necessary condition for the algebraic varieties V (P + Q) to satisfy PL(R^n,|ω| ) is given, which can be used in the characterization of the existence of continuous linear right inverse for linear partial differential operator P(D) of ultra-differentiable functions of Roumieu type ε|ω|.
作者 吴密景
出处 《太原科技大学学报》 2006年第6期435-437,共3页 Journal of Taiyuan University of Science and Technology
关键词 右逆 超可微函数 right inverse, ultra-differentiable functions, P-L principle
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