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EXISTENCE RESULT FOR NONLINEAR PARABOLIC EQUATIONS WITH LOWER ORDER TERMS

    https://doi.org/10.1142/S0219530511001790Cited by:26 (Source: Crossref)

    In this paper, we prove, the existence of a renormalized solution for a class of nonlinear parabolic problems whose prototype is

    where QT = Ω × (0, T), Ω is an open and bounded subset of ℝN, N ≥ 2, T > 0, Δp is the so called p-Laplace operator, , c ∈ (Lr(QT))N with , , b ∈ LN+2, 1(QT), f ∈ L1(QT), g ∈ (Lp'(QT))N and u0 ∈ L1(Ω).

    AMSC: 35K55, 35K20, 35B45, 35R05