24 citations · 199 across the 28 of their papers we have counts for
4 papers · 1 filter
Focusing Gibbs measures with harmonic potential
Tristan Robert, Kihoon Seong, Leonardo Tolomeo +1
In this paper, we study the Gibbs measures associated to the focusing nonlinear Schrödinger equation with harmonic potential on Euclidean spaces. We establish a dichotomy for norma…
Hyperbolic -model on the plane
Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1
We study the hyperbolic -model on the plane. By establishing coming down from infinity for the associated stochastic nonlinear heat equation (SNLH) on the plane, we firs…
Norm inflation for the derivative nonlinear Schrödinger equation
Yuzhao Wang, Younes Zine
In this note, we study the ill-posedness problem for the derivative nonlinear Schrödinger equation (DNLS) in the one-dimensional setting. More precisely, by using a ternary-quinary…
Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity
Ilya Chevyrev, Tadahiro Oh, Yuzhao Wang
We consider the ill-posedness issue for the cubic nonlinear heat equation and prove norm inflation with infinite loss of regularity in the Hölder-Besov space $\mathcal C^s = B^{s}_…