A global existence-global nonexistence conjecture of Fujita type for a system of degenerate semilinear parabolic equations
Howard Levine (1996)
Banach Center Publications
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Howard Levine (1996)
Banach Center Publications
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Souplet, Philippe (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sun, Fuqin (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tersenov, Alkis S. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cortázar, Carmen, del Pino, Manuel, Elgueta, Manuel (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Piotr Biler (1995)
Colloquium Mathematicae
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Tersenov, Aris S. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gladkov, Alexander (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Marek Fila, Ján Filo (1996)
Banach Center Publications
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Li, Yuxiang, Xie, Chunhong (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jan Cholewa, Tomasz Dlotko (2000)
Banach Center Publications
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An abstract parabolic equation with sectorial operator and continuous nonlinearity is studied in this paper. In particular, the asymptotic behavior of solutions is described within the framework of the theory of global attractors. Examples included in the final part of the paper illustrate the presented ideas.