Decay and growth for a nonlinear parabolic difference equation

Sergiu Hart; Benjamin Weiss

doi:10.1090/S0002-9939-05-08052-4

Decay and growth for a nonlinear parabolic difference equation

Sergiu Hart^*
, Benjamin Weiss

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a difference equation analogue of the decay-of-mass result for the nonlinear parabolic equation u_t = Δu + μ|∇u| when μ < 0, and a new growth result when μ > 0.

Original language	English
Pages (from-to)	2613-2620
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	133
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-05-08052-4
State	Published - Sep 2005

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abstract = "We prove a difference equation analogue of the decay-of-mass result for the nonlinear parabolic equation ut = Δu + μ|∇u| when μ < 0, and a new growth result when μ > 0.",

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Decay and growth for a nonlinear parabolic difference equation

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