Well-posedness of history-dependent evolution inclusions with applications

被引：10
|
作者：
Migorski, Stanislaw [1 ,2 ]
Bai, Yunru [3 ]
机构：
[1] Beibu Gulf Univ, Coll Sci, Qinzhou 535000, Guangxi, Peoples R China
[2] Jagiellonian Univ Krakow, Chair Optimizat & Control, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
[3] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 04期
基金：
欧盟地平线“2020”;
关键词：
Evolution inclusion; Variational-hemivariational inequality; Clarke subdifferential; History-dependent operator; Existence and uniqueness; Frictional contact; Semipermeability; VARIATIONAL-HEMIVARIATIONAL INEQUALITIES; EXISTENCE;
D O I：
10.1007/s00033-019-1158-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of evolution subdifferential inclusions involving history-dependent operators. We improve our previous theorems on existence and uniqueness and produce a continuous dependence result with respect to weak topologies under a weaker smallness condition. Two applications are provided to a frictional viscoelastic contact problem with long memory, and to a nonsmooth semipermeability problem.
引用
收藏
页数：22
相关论文
共 50 条
12345