EXISTENCE OF SOLUTIONS FOR CONVEX SWEEPING PROCESSES IN p-UNIFORMLY SMOOTH AND q-UNIFORMLY CONVEX BANACH SPACES

被引：0

作者：

Bounkhel, Messaoud ^{[1
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh 11451, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Uniformly smooth and uniformly convex Banach spaces; state dependent sweeping process; generalized projection; duality mapping;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the existence of at least one Lipschitz solution for extensions of convex sweeping processes in reflexive smooth Banach spaces. Our result is proved under a weaker assumption on the moving set than those in [3], and using a different discretization.

引用

页数：6

共 11 条

[1]

Alber Y.I., 1993, Functional-Differential Equations, Funct. Differential Equations Israel Sem., V1, P1

[2]

Alber YI., 2006, NONLINEAR ILL POSED

[3] Proximal analysis in reflexive smooth Banach spaces [J].