Publications [#246888] of Jian-Guo Liu

Papers Published

1. Chen, X; Liu, JG, Two Nonlinear Compactness Theorems in L^p(0,T;B), Appl. Math. Lett., vol. 25 no. 12 (2012), pp. 2252-2257, Elsevier BV, ISSN 0893-9659 [doi]
   (last updated on 2025/05/01)

   Abstract:
   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 ellipticparabolic equations. Based on this theorem, we then obtain a time translation counterpart of a result by Dubinskiǐ (1965) [5], which is supposed to be useful in the study of some nonlinear kinetic equations (e.g. the FENE-type beadspring chains model). © 2012 Elsevier Ltd. All rights reserved.