Attractors for a class of doubly nonlinear parabolic systems
In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2}$ and ${\prod_{i=1}^{2}}{B_{\infty }^{1+\sigma_{...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2006-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=237 |
| Summary: | In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2}$ and ${\prod_{i=1}^{2}}{B_{\infty }^{1+\sigma_{i},p_{i}}( \Omega )} $. |
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| ISSN: | 1417-3875 1417-3875 |