Estimates of the higher order derivatives of the solutions of hypoelliptic equations.
Hakobyan, G.H. (2003)
Rendiconti del Seminario Matematico
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Hakobyan, G.H. (2003)
Rendiconti del Seminario Matematico
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Morando, Alessandro, Secchi, Paolo (2010)
International Journal of Differential Equations
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Philippe Gravejat (2004)
Annales de l'I.H.P. Analyse non linéaire
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Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
Cappiello, M. (2003)
Rendiconti del Seminario Matematico
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Ghanmi, Abdeljabbar, Toumi, Faten (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Novotny, Antonin (1997)
Portugaliae Mathematica
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Patrizia Pucci, Raffaella Servadei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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