M. Hallgren

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math.AP2025

Structure Theory of Parabolic Nodal and Singular Sets

Max Hallgren, Robert Koirala, Zilu Ma

We establish new estimates for the size and structure of the nodal set ${u = 0}$ and the singular set ${u = ∣\nabla u ∣ = 0}$ of solutions $u$ to parabolic inequalities with parabolic…

math.AP2017

A Differential Harnack Inequality for the Newell-Whitehead Equation

Derek Booth, Jack Burkart, Xiaodong Cao +4

This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead equation on $R^{n}$ . We then use our LYH-differen…