Differentiable mappings on products with different degrees of differentiability in the two factors

被引：23

作者：

Alzaareer, Hamza ^{[1
]}

Schmeding, Alexander ^{[1
]}

机构：

[1] Univ Paderborn, Math Inst, Warburger Str 100, D-33098 Paderborn, Germany

来源：

EXPOSITIONES MATHEMATICAE | 2015年 / 33卷 / 02期

关键词：

Differential calculus; Infinite-dimensional manifolds; Smooth compact-open topology; Exponential law; Ordinary differential equation; K-space; LIE GROUP STRUCTURES; REPRESENTATIONS; SMOOTH;

D O I：

10.1016/j.exmath.2014.07.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop differential calculus of C-r,C-s-mappings on products of locally convex spaces and prove exponential laws for such mappings. As an application, we consider differential equations in Banach spaces depending on a parameter in a locally convex space. Under suitable assumptions, the associated flows are mappings of class C-r,C-s. (C) 2014 Elsevier GmbH. All rights reserved.

引用

页码：184 / 222

页数：39

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