On a certain non-linear initial-boundary value problem for integro-differential equations of parabolic type
H. Ugowski (1973)
Annales Polonici Mathematici
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H. Ugowski (1973)
Annales Polonici Mathematici
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Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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P. Besala (1963)
Colloquium Mathematicae
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J. Chabrowski (1972)
Colloquium Mathematicae
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H. Ugowski (1971)
Annales Polonici Mathematici
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D. G. Aronson, P. Besala (1967)
Colloquium Mathematicae
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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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Wolf von Wahl (1983)
Annales Polonici Mathematici
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Piotr Biler, Tadeusz Nadzieja (2011)
Colloquium Mathematicae
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This note presents an elementary approach to the nonexistence of solutions of linear parabolic initial-boundary value problems considered in the Feller test.
Andrzej Borzymowski, Jacek Urbanowicz (1983)
Annales Polonici Mathematici
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A. Wójcik (1980)
Annales Polonici Mathematici
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Azari, Hossein, Liu, Tang, Zhang, Shuhua
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In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.
H. Ugowski (1972)
Annales Polonici Mathematici
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J. Chabrowski (1973)
Annales Polonici Mathematici
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A. Grimaldi, F. Ragnedda (1983)
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...
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.