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A note on Aubin-Lions-Dubinskiǐ Lemmas

Publication ,  Journal Article
Chen, X; Jüngel, A; Liu, JG
Published in: Acta Applicandae Mathematicae
January 1, 2014
Published version (DOI)

Strong compactness results for families of functions in seminormed nonnegative cones in the spirit of the Aubin-Lions-Dubinskiǐ lemma are proven, refining some recent results in the literature. The first theorem sharpens slightly a result of Dubinskiǐ (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. © 2013 Springer Science+Business Media.

Duke Scholars

Jian-Guo Liu
Author Jian-Guo Liu Physics

Published In

Acta Applicandae Mathematicae

DOI

10.1007/s10440-013-9858-8

EISSN

1572-9036

ISSN

0167-8019

Publication Date

January 1, 2014

Volume

133

Issue

1

Start / End Page

33 / 43

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
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Chen, X., Jüngel, A., & Liu, J. G. (2014). A note on Aubin-Lions-Dubinskiǐ Lemmas. Acta Applicandae Mathematicae, 133(1), 33–43. https://doi.org/10.1007/s10440-013-9858-8
Chen, X., A. Jüngel, and J. G. Liu. “A note on Aubin-Lions-Dubinskiǐ Lemmas.” Acta Applicandae Mathematicae 133, no. 1 (January 1, 2014): 33–43. https://doi.org/10.1007/s10440-013-9858-8.
Chen X, Jüngel A, Liu JG. A note on Aubin-Lions-Dubinskiǐ Lemmas. Acta Applicandae Mathematicae. 2014 Jan 1;133(1):33–43.
Chen, X., et al. “A note on Aubin-Lions-Dubinskiǐ Lemmas.” Acta Applicandae Mathematicae, vol. 133, no. 1, Jan. 2014, pp. 33–43. Scopus, doi:10.1007/s10440-013-9858-8.
Chen X, Jüngel A, Liu JG. A note on Aubin-Lions-Dubinskiǐ Lemmas. Acta Applicandae Mathematicae. 2014 Jan 1;133(1):33–43.
Journal cover image

Published In

Acta Applicandae Mathematicae

DOI

10.1007/s10440-013-9858-8

EISSN

1572-9036

ISSN

0167-8019

Publication Date

January 1, 2014

Volume

133

Issue

1

Start / End Page

33 / 43

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics