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math.AP2022
Weak universality results for a class of nonlinear wave equations
Chenmin Sun, Nikolay Tzvetkov, Weijun Xu
We study the weak universality of the two-dimensional fractional nonlinear wave equation. For a sequence of Hamiltonians of high-degree potentials scaling to the fractional …
math.AP2022★ 1 cited
Sharp resolvent estimate for the Baouendi-Grushin operator and applications
Victor Arnaiz, Chenmin Sun
In this article we study the semiclassical resolvent estimate for the non-selfadjoint Baouendi-Grushin operator on the two-dimensional torus $\mathbb{T}^2=\mathbb{R}^2/(2π\mathbb{Z…