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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P. Besala (1964)
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. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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H. Ugowski (1971)
Annales Polonici Mathematici
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P. Besala (1963)
Colloquium Mathematicae
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Hossein Azari, Shu Hua Zhang (2009)
Applications of Mathematics
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In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.
Vladimír Ďurikovič (1979)
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.
P. Besala (1975)
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.
H. Ugowski (1972)
Annales Polonici Mathematici
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Changchun Liu, Jinyong Guo (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.
A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
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Wolf von Wahl (1983)
Annales Polonici Mathematici
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