Cung The Anh, Phan Quoc Hung (2008)
Annales Polonici Mathematici
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We study the global existence and long-time behavior of solutions for a class of semilinear degenerate parabolic equations in an arbitrary domain.
Ning Duan, Xiaopeng Zhao (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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This paper is concerned with a fourth-order parabolic equation which models epitaxial growth of nanoscale thin films. Based on the regularity estimates for semigroups and the classical existence theorem of global attractors, we prove that the fourth order parabolic equation possesses a global attractor in a subspace of H², which attracts all the bounded sets of H² in the H²-norm.
Pavol Quittner (2002)
Mathematica Bohemica
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We review some recent results concerning a priori bounds for solutions of superlinear parabolic problems and their applications.
Quittner, Pavol
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El Hachimi, Abderrahmane, Sidi Ammi, Moulay Rchid (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Pavol Quittner (2001)
Mathematica Bohemica
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In this survey we consider superlinear parabolic problems which possess both blowing-up and global solutions and we study a priori estimates of global solutions.
Quittner, P. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Horn, Werner (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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