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Article
Publication date: 8 March 2021

Md Abu Hanif Sarkar

The purpose of this paper is to find a doubly nonlinear parabolic equation of fast diffusion in a bounded domain.

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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.

Details

Arab Journal of Mathematical Sciences, vol. 28 no. 1
Type: Research Article
ISSN: 1319-5166

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