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Ahmed Aberqi, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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We prove the existence of a renormalized solution to a class of doubly nonlinear parabolic systems.
Kaouther Ammar, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.
V. Lj. Kocić (1985)
Matematički Vesnik
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Liu, Changchun (2006)
Lobachevskii Journal of Mathematics
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P. Besala (1983)
Annales Polonici Mathematici
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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.
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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Ji Liu, Jia-Shan Zheng (2015)
Czechoslovak Mathematical Journal
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We study a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source, under homogeneous Neumann boundary conditions in a smooth bounded domain. By establishing proper a priori estimates we prove that, with both the diffusion function and the chemotaxis sensitivity function being positive, the corresponding initial boundary value problem admits a unique global classical solution which is uniformly bounded. The result of this paper is a generalization of that of...
H. Ugowski (1971)
Annales Polonici Mathematici
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Andrzej Borzymowski, Jacek Urbanowicz (1983)
Annales Polonici Mathematici
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Piotr Biler (2006)
Banach Center Publications
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This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.
Tomoki Kawahira (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give an alternative proof of simultaneous linearization recently shown by T. Ueda, which connects the Schröder equation and the Abel equation analytically. In fact, we generalize Ueda's original result so that we may apply it to the parabolic fixed points with multiple petals. As an application, we show a continuity result on linearizing coordinates in complex dynamics.
P. Besala (1963)
Colloquium Mathematicae
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J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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Wolf von Wahl (1983)
Annales Polonici Mathematici
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