Finite extinction for a doubly nonlinear parabolic equation of fast diffusion type

Abstract

PurposeThe purpose of this paper is to find a doubly nonlinear parabolic equation of fast diffusion in a bounded domain.Design/methodology/approachFor positive and bounded initial data, the authors study the initial zero-boundary value problem.FindingsThe findings of this study showed the complete extinction of a continuous weak solution at a finite time.Originality/valueThe extinction time is studied earlier but for the Laplacian case. The authors presented the finite extinction time for the case of p-Laplacian.