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- Title
RENORMALIZED SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH GENERAL MEASURE DATA.
- Authors
ABDELLAOUI, MOHAMMED; AZROUL, ELHOUSSINE
- Abstract
We prove the existence of parabolic initial boundary value problems of the type ut - div(a∈(t, x, u∈, ▽u∈)) = μ∈ in Q := (0, T) x Ω, μ∈ = 0 on (0, T) x ∂Ω, u∈(0) = u0, ∈ in Ω, with respect to suitable convergence of the nonlinear operators a∈ and of the measure data μ∈. As a consequence, we obtain the existence of a renormalized solution for a general class of nonlinear parabolic equations with right-hand side measure.
- Subjects
PARABOLIC differential equations; BOUNDARY value problems; NONLINEAR operators; DIFFERENTIAL equations; RADON measures
- Publication
Electronic Journal of Differential Equations, 2018, Vol 2018, Issue 101-157, p1
- ISSN
1550-6150
- Publication type
Article