Counterexamples for Uniqueness in Strongly Coupled Parabolic Systems.
Ray Redheffer, Wolfgang Walter (1980)
Mathematische Zeitschrift
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Ray Redheffer, Wolfgang Walter (1980)
Mathematische Zeitschrift
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D. G. Aronson, P. Besala (1967)
Colloquium Mathematicae
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H. Ugowski (1971)
Annales Polonici Mathematici
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P. Besala (1963)
Colloquium Mathematicae
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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 (1983)
Annales Polonici Mathematici
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J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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P. Besala (1975)
Annales Polonici Mathematici
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Ferit Gurbuz (2016)
Open Mathematics
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In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...
Michael Wiegner (1992)
Mathematische Annalen
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H. Ugowski (1972)
Annales Polonici Mathematici
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A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
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J. Chabrowski (1974)
Colloquium Mathematicae
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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.
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].