EXISTENCE RESULT FOR NONLINEAR PARABOLIC EQUATIONS WITH LOWER ORDER TERMS

Abstract

In this paper, we prove, the existence of a renormalized solution for a class of nonlinear parabolic problems whose prototype is [Formula: see text] where Q T = Ω × (0, T), Ω is an open and bounded subset of ℝ N , N ≥ 2, T > 0, Δ p is the so called p-Laplace operator, [Formula: see text], c ∈ (L r (Q T )) N with [Formula: see text], [Formula: see text], b ∈ L N+2, 1 (Q T ), f ∈ L 1 (Q T ), g ∈ (L p' (Q T )) N and u 0 ∈ L 1 (Ω).