Exponential attractor for an adsorbate-induced phase transition model in non smooth domain
We improve our preceding result obtained in Tsujikawa and Yagi [10]. We construct the similar exponential attractors to the same adsorbate-induced phase transition model as in [10] but in a convex domain by using the compact smoothing property of corresponding nonlinear semigroup. In [10], the domai...
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| Veröffentlicht in: | Osaka journal of mathematics 2006-03, Vol.43 (no. 1), p.215-237 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We improve our preceding result obtained in Tsujikawa and
Yagi [10]. We construct the similar exponential attractors
to the same adsorbate-induced phase transition model as in
[10] but in a convex domain by using the compact smoothing
property of corresponding nonlinear semigroup. In [10], the
domain has been assumed to have \mathcal{C}^{3} regularity
to ensure the squeezing property of semigroup. |
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