Existence result for nonlinear parabolic problems with L¹-data

Abderrahmane El Hachimi; Jaouad Igbida; Ahmed Jamea

Abderrahmane El Hachimi ; Jaouad Igbida ; Ahmed Jamea

Applicationes Mathematicae, Tome 37 (2010), p. 483-508 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2010-01-01

Zbl 1207.35195

EUDML-ID : urn:eudml:doc:279897

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     author = {Abderrahmane El Hachimi and Jaouad Igbida and Ahmed Jamea},
     title = {Existence result for nonlinear parabolic problems with L$^1$-data},
     journal = {Applicationes Mathematicae},
     volume = {37},
     year = {2010},
     pages = {483-508},
     zbl = {1207.35195},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-4-6}
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Abderrahmane El Hachimi; Jaouad Igbida; Ahmed Jamea. Existence result for nonlinear parabolic problems with L¹-data. Applicationes Mathematicae, Tome 37 (2010) pp. 483-508. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-4-6/