On integro-differential equations of parabolic type
H. Ugowski (1971)
Annales Polonici Mathematici
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H. Ugowski (1971)
Annales Polonici Mathematici
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J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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H. Ugowski (1972)
Annales Polonici Mathematici
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P. Besala (1963)
Colloquium Mathematicae
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Wolf von Wahl (1983)
Annales Polonici Mathematici
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A. Wójcik (1980)
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.
P. Besala (1975)
Annales Polonici Mathematici
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A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
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Horn, Werner (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Piotr Biler, Lorenzo Brandolese (2009)
Studia Mathematica
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We establish new results on convergence, in strong topologies, of solutions of the parabolic-parabolic Keller-Segel system in the plane to the corresponding solutions of the parabolic-elliptic model, as a physical parameter goes to zero. Our main tools are suitable space-time estimates, implying the global existence of slowly decaying (in general, nonintegrable) solutions for these models, under a natural smallness assumption.
P. Besala (1983)
Annales Polonici Mathematici
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Kleber Carrapatoso (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
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I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].
J. Chabrowski (1974)
Colloquium Mathematicae
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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.
Dang-Dinh Ang (1990)
Banach Center Publications
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