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Currently displaying 1 – 2 of 2

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Generalized solutions for nonlinear elliptic equations.

El Hachimi, Abderrahmane; Igbida, Jaouad; Jamea, Ahmed — 2010

Applied Mathematics E-Notes [electronic only]

Existence result for nonlinear parabolic problems with L¹-data

Abderrahmane El Hachimi; Jaouad Igbida; Ahmed Jamea — 2010

Applicationes Mathematicae

We study the existence of solutions of the nonlinear parabolic problem $\partial u / \partial t - d i v [| D u - Θ (u) |^{p - 2} (D u - Θ (u))] + α (u) = f$ in ]0,T[ × Ω, $(| D u - Θ (u) |^{p - 2} (D u - Θ (u))) \cdot η + γ (u) = g$ on ]0,T[ × ∂Ω, u(0,·) = u₀ in Ω, with initial data in L¹. We use a time discretization of the continuous problem by the Euler forward scheme.

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