Year: 2019
Analysis in Theory and Applications, Vol. 35 (2019), Iss. 2 : pp. 192–204
Abstract
This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead-Segel equation on $\mathbb{R}^n$. We then use our LYH-differential Harnack inequality to prove several properties about positive solutions to the equation, including deriving a classical Harnack inequality and characterizing standing solutions and traveling wave solutions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-0005
Analysis in Theory and Applications, Vol. 35 (2019), Iss. 2 : pp. 192–204
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Newell-Whitehead-Segel equation Harnack estimate Harnack inequality wave solutions.
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