期刊
ACTA APPLICANDAE MATHEMATICAE
卷 133, 期 1, 页码 33-43出版社
SPRINGER
DOI: 10.1007/s10440-013-9858-8
关键词
Compactness in Banach spaces; Rothe method; Dubinskii lemma; Seminormed cone
资金
- National Science Foundation of China [11101049]
- Austrian Science Fund (FWF) [P20214, P22108, I395, W1245]
- European Union [304617]
- National Science Foundation of the USA [DMS 10-11738]
- Austrian Science Fund (FWF) [P 24304, I 395] Funding Source: researchfish
Strong compactness results for families of functions in seminormed nonnegative cones in the spirit of the Aubin-Lions-DubinskiA lemma are proven, refining some recent results in the literature. The first theorem sharpens slightly a result of DubinskiA (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 Jungel (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.
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