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In this paper we consider a doubly nonlinear parabolic partial differential equation ∂β(u) ∂t −∆pu+ f(x, t, u) = 0 in Ω× R, with Dirichlet boundary condition and initial data given. We prove the… (More)
In this paper we are concerned with the existence of solutions for nonhomogeneous Dirichlet periodic problem associated with the following doubly nonlinear equation @b(u) @t div(|ru| p 2 ru )=… (More)
Concerning several attacks using letter bombs within Europe in the last couple of years and the highly rising number of new drugs, there is a need for new kinds of detection devices for explosives… (More)
In this paper, we study a nonlocal parabolic problem arising in Ohmic heating. Firstly, some existence and uniqueness results for the contin- uous problem are proposed. secondly, a time… (More)
A time discretization technique by Euler forward scheme is proposed to deal with a nonlocal parabolic problem. Existence and uniqueness of the approximate solution are proved.
A finite difference scheme is proposed for temporal discretization of the nonlocal time-fractional thermistor problem. Stability and error analysis of the proposed scheme are provided.
In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this… (More)
We prove the existence of weak solutions for the thermistor problem with degeneracy by using a regularization and truncation process. The solution of the regularized-truncated problem is obtained by… (More)