Concerning solutions of an exterior boundary-value problem for a system of non-linear parabolic equations
P. Besala (1964)
Annales Polonici Mathematici
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P. Besala (1964)
Annales Polonici Mathematici
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D. E. Edmunds, L. A. Peletier (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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H. Ugowski (1973)
Annales Polonici Mathematici
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Herbert Amann (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
J. Chabrowski (1972)
Colloquium Mathematicae
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Arina Arkhipova (2008)
Banach Center Publications
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We consider nondiagonal elliptic and parabolic systems of equations with quadratic nonlinearities in the gradient. We discuss a new description of regular points of solutions of such systems. For a class of strongly nonlinear parabolic systems, we estimate locally the Hölder norm of a solution. Instead of smallness of the oscillation, we assume local smallness of the Campanato seminorm of the solution under consideration. Theorems about quasireverse Hölder inequalities proved by the...
B. Stanković (1995)
Publications de l'Institut Mathématique
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Jaroslav Jaroš, Takasi Kusano (2002)
Publications de l'Institut Mathématique
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Peter Lindqvist (1995)
Revista Matemática Iberoamericana
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The celebrated criterion of Petrowsky for the regularity of the latest boundary point, originally formulated for the heat equation, is extended to the so-called p-parabolic equation. A barrier is constructed by the aid of the Barenblatt solution.
Vladimír Ďurikovič (1979)
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.