Fengquan Li (2007)
Commentationes Mathematicae Universitatis Carolinae
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Using as a main tool the time-regularizing convolution operator introduced by R. Landes, we obtain regularity results for entropy solutions of a class of parabolic equations with irregular data. The results are obtained in a very general setting and include known previous results.
Giorgi, Tiziana, O'Leary, Mike (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Qi Tang, Kewei Zhang (2007)
Annales de l'I.H.P. Analyse non linéaire
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Micol Amar, Roberto Gianni (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This paper is devoted to the study of the homogenization of a porous medium, composed of different materials arranged in a periodic structure. This provides the profile of the saturation function for the limit material.
Salvatore Bonafede, Francesco Nicolosi (2004)
Mathematica Bohemica
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We study the asymptotic behaviour near infinity of the weak solutions of the Cauchy-problem.