Wyniki wyszukiwania

1

Existence and uniqueness result for a class of nonlinear parabolic equations with L¹ data

100%

Ammar K., Bennouna J., Redwane H.

Applicationes Mathematicae

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2014

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tom 41

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nr 2-3

141-148

EN

We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.

2

Existence result for a class of doubly nonlinear parabolic systems

100%

Aberqi A., Bennouna J., Redwane H.

Applicationes Mathematicae

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2014

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tom 41

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nr 2-3

195-205

EN

We prove the existence of a renormalized solution to a class of doubly nonlinear parabolic systems.

3

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

88%

Aberqi A., Bennouna J., Hammoumi M., Mekkour M., Youssfi A.

Applicationes Mathematicae

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2014

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tom 41

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nr 2-3

207-219

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).

Ograniczanie wyników

3 Applicationes Mathematicae

3 Bennouna J.

2 Aberqi A.

2 Redwane H.

1 Ammar K.

1 Hammoumi M.

1 Mekkour M.

1 Youssfi A.

3 2014

Existence and uniqueness result for a class of nonlinear parabolic equations with L¹ data

Existence result for a class of doubly nonlinear parabolic systems

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