Browsing by Author "Zaghlaoui, Idriss"

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    Quasi-linear Singular Parabolic Problem
    (Faculty of Mathematics and Computer Science Department of Mathematics, 2018) Zaghlaoui, Idriss
    We investigate the following quasi-linear and singular parabolic equation , 8>< >: ut 􀀀 Δpu = 1 u + f(x; u) in QT ; u = 0; on T ; u > 0 in QT ; (Pt) u(0; x) = u0(x) in Ω: WhereΩis an open bounded domain with smooth boundary inRN(withN 2), 1 < p < 1, 0 < , T > 0, QT = (0; T) Ω and T = (0; T) @Ω. We assume that f is bounded below Caratheodory function and u0 2 W1;p 0 (Ω). In this memory we will study the existence and uniqueness of the weak solution of (Pt) using method of semi- discretization in time and we study the stabilization.