19 citations · 69 across the 23 of their papers we have counts for
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Refined probabilistic global well-posedness for the weakly dispersive NLS
Chenmin Sun, Nikolay Tzvetkov
We continue our study of the cubic fractional NLS with very weak dispersion and data distributed according to the Gibbs measure. We construct the natural strong solutions for…
Decays rates for Kelvin-Voigt damped wave equations II: the geometric control condition
Nicolas Burq, Chenmin Sun
We study in this article decay rates for Kelvin-Voigt damped wave equations under a geometric control condition. We prove that when the damping coefficient is sufficiently smooth (…
Observability of Baouendi-Grushin-Type Equations Through Resolvent Estimates
Cyril Letrouit, Chenmin Sun
In this article, we study the observability (or, equivalently, the controllability) of some subelliptic evolution equations depending on their step. This sheds light on the speed o…
Decay for the Kelvin-Voigt damped wave equation: Piecewise smooth damping
Nicolas Burq, Chenmin Sun
We study the energy decay rate of the Kelvin-Voigt damped wave equation with piecewise smooth damping on the multi-dimensional domain. Under suitable geometric assumptions on the s…
Concerning the pathological set in the context of probabilistic well-posedness
Chenmin Sun, Nikolay Tzvetkov
We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set of the Sobolev space of s…