Boudjeriou, Tahir2023-05-242023-05-2420220003-6811https://doi.org/10.1080/00036811.2022.2153677https://www.tandfonline.com/doi/abs/10.1080/00036811.2022.2153677https://dspace.univ-boumerdes.dz/handle/123456789/11599The first goal of this paper is to establish a result on the existence and uniqueness of solution to an initial-boundary value problem for parabolic equations of Kirchhoff type involving the 1-Laplace operator. The second goal is to discuss some qualitative properties, such as asymptotic behaviour and the extinction of solutions for the considered problemenKirchhoff total variation flowExtinction timeArticle