### The Dirichlet problem for a class of nonlinear degenerate parabolic equations.

Han, Pigong (2005)

Journal of Inequalities and Applications [electronic only]

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Han, Pigong (2005)

Journal of Inequalities and Applications [electronic only]

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Mujaković, Nermina (2008)

Boundary Value Problems [electronic only]

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Liu, Wenjun (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Bouziani, Abdelfatah (2002)

International Journal of Mathematics and Mathematical Sciences

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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.

Pavel Gurevich, Sergey Tikhomirov (2014)

Mathematica Bohemica

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We study systems of reaction-diffusion equations with discontinuous spatially distributed hysteresis on the right-hand side. The input of the hysteresis is given by a vector-valued function of space and time. Such systems describe hysteretic interaction of non-diffusive (bacteria, cells, etc.) and diffusive (nutrient, proteins, etc.) substances leading to formation of spatial patterns. We provide sufficient conditions under which the problem is well posed in spite of the assumed discontinuity...

Chen, Botao, Mi, Yongsheng, Mu, Chunlai (2011)

Boundary Value Problems [electronic only]

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Alkis S Tersenov (2004)

Annales de l'I.H.P. Analyse non linéaire

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Boucherif, Abdelkader (2011)

Advances in Difference Equations [electronic only]

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