Global attractor for a semilinear parabolic equation involving Grushin operator.
Cung The Anh, Phan Quoc Hung, Tran Dinh Ke, Trinh Tuan Phong (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cung The Anh, Phan Quoc Hung, Tran Dinh Ke, Trinh Tuan Phong (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Takeuchi, Shingo, Yokota, Tomomi (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Papadopoulos, Perikles G., Stavrakakis, Nikolaos M. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ma, Qiaozhen, Wang, Binli (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Badraoui, Salah (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dramé, Abdou Khadry (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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El Hachimi, Abderrahmane, El Ouardi, Hamid (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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de Oliveira, Luiz A.F., Pereira, Antônio L., Pereira, Marcone C. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jan Cholewa, Tomasz Dłotko (1996)
Banach Center Publications
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Global solutions of semilinear parabolic equations are studied in the case when some weak a priori estimate for solutions of the problem under consideration is already known. The focus is on the rapid growth of the nonlinear term for which existence of the semigroup and certain dynamic properties of the considered system can be justified. Examples including the famous Cahn-Hilliard equation are finally discussed.
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.
Quittner, Pavol (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cung The Anh (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Messaoudi, Salim A. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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