Renormalized solutions for nonlinear parabolic equations with general measure data
Date
2018-06-27
Authors
Abdellaoui, Mohammed
Azroul, Elhoussine
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Nonlinear parabolic problems, p-Capacity, Renormalized solution, Stability, General measure
Citation
Abdellaoui, 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.
Rights
Attribution 4.0 International