@Article{ATA-35-192,
author = {Derek Booth, Jack Burkart, Xiaodong Cao, Max Hallgren, Zachary Munro, Jason Snyder and Tom Stone},
title = {A Differential Harnack Inequality for the Newell-Whitehead-Segel Equation},
journal = {Analysis in Theory and Applications},
year = {2019},
volume = {35},
number = {2},
pages = {192--204},
abstract = {<p style="text-align: justify;">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&nbsp; characterizing standing solutions and traveling wave solutions.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-0005},
url = {http://global-sci.org/intro/article_detail/ata/13113.html}
}