Uniqueness of bounded solutions to a viscous diffusion equation.
Zejia, Wang, Jingxue, Yin (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “The Dirichlet problem for a class of nonlinear degenerate parabolic equations.”
Uniqueness of bounded solutions to a viscous diffusion equation.
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Initial-boundary value problem with a nonlocal condition for a viscosity equation.
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The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations
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On some nonlocal systems containing a parabolic PDE and a first order ODE
Ádám Besenyei (2010)
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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.
The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation
Jiaqing Pan (2011)
Open Mathematics
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In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.