Critical Blow-Up and Global Existence for Discrete Nonlinear p -Laplacian Parabolic Equations

Soon-Yeong Chung

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-10

Abstract:

The goal of this paper is to investigate the blow-up and the global existence of the solutions to the discrete p -Laplacian parabolic equation , , , , , depending on the parameters and . Besides, we provide several types of the comparison principles to this equation, which play a key role in the proof of the main theorems. In addition, we finally give some numerical examples which exploit the main results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:716327

DOI: 10.1155/2014/716327

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