Abdellaoui, MohammedAzroul, Elhoussine2022-02-142022-02-142018-06-27Abdellaoui, M., & Azroul, E. (2018). Renormalized solutions for nonlinear parabolic equations with general measure data. <i>Electronic Journal of Differential Equations, 2018</i>(132), pp. 1-21.1072-6691https://hdl.handle.net/10877/15332We prove the existence of parabolic initial boundary value problems of the type ut - div(αε(t, x, uε, ∇uε)) = με in Q ≔ (0, T) x Ω, uε = 0 on (0, T) x ∂Ω, uε(0) = u0,ε in Ω, with respect to suitable convergence of the nonlinear operators αε and of the measure data με. As a consequence, we obtain the existence of a renormalized solution for a general class of nonlinear parabolic equations with right-hand side measure.Text29 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear parabolic problemsp-CapacityRenormalized solutionStabilityGeneral measureArticle