Nonlinear parabolic problems with Neumann-type boundary conditions and -data.
El Hachimi, A., Jamea, A. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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El Hachimi, A., Jamea, A. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ahammou, Abdelaziz (2002)
International Journal of Mathematics and Mathematical Sciences
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Liu, Yiliang, Liang, Jitai (2010)
Mathematical Problems in Engineering
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Azelmat, K., Alaoui, M.Kbiri, Meskine, D., Souissi, A. (2006)
International Journal of Mathematics and Mathematical Sciences
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António Caetano, Amiran Gogatishvili, Bohumír Opic (2011)
Czechoslovak Mathematical Journal
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We characterize compact embeddings of Besov spaces involving the zero classical smoothness and a slowly varying smoothness into Lorentz-Karamata spaces , where is a bounded domain in and is another slowly varying function.
Yang, Xuxin, He, Zhimin, Shen, Jianhua (2009)
Mathematical Problems in Engineering
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Ansgar Jüngel, René Pinnau (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A semidiscretization in time of a fourth order nonlinear parabolic system in several space dimensions arising in quantum semiconductor modelling is studied. The system is numerically treated by introducing an additional nonlinear potential. Exploiting the stability of the discretization, convergence is shown in the multi-dimensional case. Under some assumptions on the regularity of the solution, the rate of convergence proves to be optimal.
John W. Barrett, Endre Süli (2012)
Publications de l'Institut Mathématique
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Aboulaich, R., Achchab, B., Meskine, D., Souissi, A. (2006)
Boundary Value Problems [electronic only]
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