On forced periodic solutions of superlinear quasi-parabolic problems.
Boldrini, José Luiz, Crema, Janete (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Boldrini, José Luiz, Crema, Janete (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Luca Rossi (2009)
Annales de l'I.H.P. Analyse non linéaire
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Badii, M., Díaz, J.I. (2010)
Boundary Value Problems [electronic only]
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Hirano, Norimichi, Shioji, Naoki (2004)
Abstract and Applied Analysis
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Maurizio Badii (2000)
Publicacions Matemàtiques
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We consider a class of degenerate reaction-diffusion equations on a bounded domain with nonlinear flux on the boundary. These problems arise in the mathematical modelling of flow through porous media. We prove, under appropriate hypothesis, the existence and uniqueness of the nonnegative weak periodic solution. To establish our result, we use the Schauder fixed point theorem and some regularizing arguments.
Alaa, N., Iguernane, M. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Ádám Besenyei (2010)
Mathematica Bohemica
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Two models of reaction-diffusion are presented: a non-Fickian diffusion model described by a system of a parabolic PDE and a first order ODE, further, porosity-mineralogy changes in porous medium which is modelled by a system consisting of an ODE, a parabolic and an elliptic equation. Existence of weak solutions is shown by the Schauder fixed point theorem combined with the theory of monotone type operators.
Carl, Siegfried (1997)
Abstract and Applied Analysis
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Liu, Wenjun (2007)
International Journal of Mathematics and Mathematical Sciences
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