Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 69
Existence results of renormalized solutions for nonlinear parabolic equations with possibly singular measure data
Khadija Moutaouakil, Jaouad Bennouna, Bouchra El Hamdaoui
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 29, 2021
March 03, 2068
April 15, 2068

Abstract: We study the existence of renormalized solutions to a nonlinear parabolic boundary value problem with a general and possibly singular measure data, whose model is (P){((∂b(u))/∂t-∆_p(x) u=μ in Q≔Ω×(0,T),@b(u)(t=0)=b(u_0 )(x) in Ω,@u(x,t)=0 on ∂Ω×(0,T),)┤ where Ω is an open bounded subset of R^N (N ≥2), T >0, b is an C^1-function,〖 Δ〗_p(x) u∶=div(|∇u|^(p(x)-2) ∇u)(1