-estimates for nonlinear parabolic equations with natural growth conditions
Vincenzo Vespri (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Vincenzo Vespri (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Michael Struwe (1984)
Czechoslovak Mathematical Journal
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Changchun Liu (2013)
Annales Polonici Mathematici
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We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.
Michael Struwe, Mariano Giaquinta (1982)
Mathematische Zeitschrift
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D. G. Aronson, James Serrin (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ivanov, Alexander V.
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