摘要
本文在拓扑线性空间中讨论了泛函的梯度算子及其弱下半连续,得到了梯度算子存 在和泛函弱下半连续的几个等价形式,给出了梯度算子及泛函与弱下半连续和泛函 取极值之间的一些关系。
Gradient Operator Of functional and weak lower semi-continuous in topological linear space is discussed in this paper . Several eguivalent froms about existence of gradient Operator and weak lOwer semi-continuous of functional are obtained . Meanwhile some relations among the gradient operator , functional ,weak lower semi-continuity and functional extreme valued are given .
出处
《龙岩师专学报》
1993年第3期17-22,共6页
Journal of Longyan Teachers College
关键词
拓扑对偶
梯度算子
拓扑线性空间
Topological Dual
Gateaux Differential
Gradient Operator
Monotone Operator
Weak Lower Semi-continuous.
