A Note on Aubin-Lions-Dubinskiĭ Lemmas

被引：0
|
作者：
Xiuqing Chen
Ansgar Jüngel
Jian-Guo Liu
机构：
[1] Beijing University of Posts and Telecommunications,School of Sciences
[2] Vienna University of Technology,Institute for Analysis and Scientific Computing
[3] Duke University,Department of Physics and Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2014年 / 133卷
关键词：
Compactness in Banach spaces; Rothe method; Dubinskii lemma; Seminormed cone; 46B50; 35A35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Strong compactness results for families of functions in seminormed nonnegative cones in the spirit of the Aubin-Lions-Dubinskiĭ lemma are proven, refining some recent results in the literature. The first theorem sharpens slightly a result of Dubinskiĭ (in Mat. Sb. 67(109):609–642, 1965) for seminormed cones. The second theorem applies to piecewise constant functions in time and sharpens slightly the results of Dreher and Jüngel (in Nonlinear Anal. 75:3072–3077, 2012) and Chen and Liu (in Appl. Math. Lett. 25:2252–2257, 2012). An application is given, which is useful in the study of porous-medium or fast-diffusion type equations.
引用
收藏
页码：33 / 43
页数：10
相关论文
共 24 条
123