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