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Two nonlinear compactness theorems in L p (0,T;B) L p ( 0 , T ; B ) mathContainer Loading Mathjax

Xiuqing Chen Beijing University of Posts and Telecommunications Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03047

Applied Mathematics Letters, 25, (1), 2252–2257, 2012.2
We establish two nonlinear compactness theorems in Lp(0,T;B) with hypothesis on time translations, which are nonlinear counterparts of two results by Simon (1987) [1]. The first theorem sharpens a result by Maitre (2003) [10] and is important in the study of doubly nonlinear elliptic–parabolic equations. Based on this theorem, we then obtain a time translation counterpart of a result by Dubinskii˘ (1965) [5], which is supposed to be useful in the study of some nonlinear kinetic equations (e.g. the FENE-type bead–spring chains model).
Aubin–Lions–Simon lemma; Nonlinear compactness; Time translation
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@inproceedings{xiuqing2012two,
  title={Two nonlinear compactness theorems in L p (0,T;B) L p ( 0 , T ; B ) mathContainer Loading Mathjax},
  author={Xiuqing Chen, and Jian-Guo Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208224019998480326},
  booktitle={Applied Mathematics Letters},
  volume={25},
  number={1},
  pages={2252–2257},
  year={2012},
}
Xiuqing Chen, and Jian-Guo Liu. Two nonlinear compactness theorems in L p (0,T;B) L p ( 0 , T ; B ) mathContainer Loading Mathjax. 2012. Vol. 25. In Applied Mathematics Letters. pp.2252–2257. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208224019998480326.
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