27 citations · 129 across the 17 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AP2022★ 2 cited
Singular Levy processes and dispersive effects of generalized Schrödinger equations
Yannick Sire, Xueying Yu, Haitian Yue +1
We introduce new models for Schrödinger-type equations, which generalize standard NLS and for which different dispersion occurs depending on the directions. Our purpose is to under…
math.AP2022★ 5 cited
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation
Bjoern Bringmann, Yu Deng, Andrea R. Nahmod +1
We prove the invariance of the Gibbs measure under the dynamics of the three-dimensional cubic wave equation, which is also known as the hyperbolic -model. This result is th…
math.AP2022★ 2 cited
On the decay property of the cubic fourth-order Schrödinger equation
Xueying Yu, Haitian Yue, Zehua Zhao
In this short paper, we prove that the solution of the cubic fourth-order Schrödinger equation (4NLS) on () enjoys the same (pointwise) decay proper…