Renormalized solution of nonlinear parabolic equations without sign condition and general measure data
Year: 2018
Type: article
Abstract: We give an existence result of a renormalized solution for a class of nonlinear parabolic equations (∂b(u) ∕ ∂ t) - div (a(x, t, ∇ u)) + h(u) |∇u|p = μ, where the right side is a general measure and b(u) is a strictly increasing C1-function with b(0)=0, - div(a(x, t, ∇ u)) is a Leray--Lions type operator with growth |∇u|p-1 in ∇ u and h: ℝ → ℝ+ is a continuous positive function that belongs to L1(ℝ).
Source: Gulf Journal of Mathematics
Authors: A. Bouajaja, Amine Marah, Hichem Redwane
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4296239738