José C. M. Duque

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In this work, we study the convergence of the finite element method when applied to the following parabolic equation: u t = div(|u| γ(x) ∇u) + λ|u| σ(x,t)−2 u + f (x, t), x ∈ Ω ⊂ R d , t ∈]0, T ]. Since the equation may be of degenerate type, we utilize an approximate problem , regularized by introducing a parameter ε. We prove, under certain conditions on(More)
In this work, we study the convergence of the finite element method when applied to the following parabolic equation: ut = div(|u| γ(x) ∇u) + f (x, t), x ∈ Ω ⊂ R m , t ∈]0, T ]. Since the problem may be of degenerate type, we utilize an approximate problem, regularized by introducing a parameter ε. We prove, under certain conditions on γ and f , that the(More)
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