On a nonlinear compactness lemma in Lp(0,T;B)
We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203106175 |
| Summary: | We consider a nonlinear counterpart of a compactness lemma of
Simon (1987), which arises naturally in the study of doubly
nonlinear equations of elliptic-parabolic type. This
paper was motivated by previous results of Simon (1987), recently
sharpened by Amann (2000), in the linear setting, and by a
nonlinear compactness argument of Alt and Luckhaus (1983). |
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| ISSN: | 0161-1712 1687-0425 |