Existence results for a class of nonlinear parabolic equations with two lower order terms

• Autorzy: Ahmed Aberqi , Jaouad Bennouna , M. Hammoumi , Mounir Mekkour , Ahmed Youssfi
• Języki publikacji: EN

Abstrakty

EN

We investigate the existence of renormalized solutions for some nonlinear parabolic problems associated to equations of the form
⎧$∂(e^{βu}-1)/∂t - div(|∇u|^{p-2}∇u) + div(c(x,t)|u|^{s-1}u) + b(x,t)|∇u|^{r} = f$ in Q = Ω×(0,T),
⎨ u(x,t) = 0 on ∂Ω ×(0,T),
⎩ $(e^{βu} - 1)(x,0) = (e^{βu₀} - 1)(x)$ in Ω.
with s = (N+2)/(N+p) (p-1), $c(x,t) ∈ (L^{τ}(QT))^{N}$, τ = (N+p)/(p-1), r = (N(p-1) + p)/(N+2), $b(x,t) ∈ L^{N+2,1}(QT)$ and f ∈ L¹(Q).

Kategorie tematyczne

• 46A32: Spaces of linear operators; topological tensor products; approximation properties
• 47A15: Invariant subspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 2-3
• Strony: 207-219

Daty

wydano

2014

Twórcy

autor

Ahmed Aberqi

• Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, P.O. Box 1796 Atlas, Fez, Morocco

autor

Jaouad Bennouna

• Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, P.O. Box 1796 Atlas, Fez, Morocco

autor

M. Hammoumi

• Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, P.O. Box 1796 Atlas, Fez, Morocco

autor

Mounir Mekkour

• Laboratory LIMAO, Poly-disciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, P.O. Box 1223, Taza, Morocco

autor

Ahmed Youssfi

• Deptment of Mathematics, Faculty of Sciences and Technology, Moulay Ismail University, P.O. Box 509-Boutalamine, 52 000 Errachidia, Morocco

Identyfikatory

DOI

10.4064/am41-2-8