3 citations · 4 across the 19 of their papers we have counts for
32 papers
Scattering Theory For 3D Cubic Damped Magnetic Schrödinger Equation
Luca Fanelli, Haruya Mizutani, Yilin Song +2
We consider the three-dimensional defocusing cubic nonlinear Schrödinger equation with variable coefficients, a magnetic potential, and a non-negative localized damping term, \[ i\…
Generic ill-posedness for Schrödinger equation with power-type nonlinearity on
Sijie Qian, Yilin Song, Ruixiao Zhang +1
In this article, we investigate the local well-posedness of the nonlinear Schrödinger equation on the two-dimensional sphere : \begin{align*} i\partial_tu+Δ_{g}u=F(u)…
Threshold dynamics for the 4 mass-energy double critical NLS
Alex H. Ardila, Zuyu Ma, Jason Murphy +1
We consider the 4 mass-energy double critical NLS \[ (i\partial_t+Δ)u = -|u|^2 u + |u| u. \] In Luo (2024) and Cheng--Miao--Zhao (2016), the authors established a scattering/blo…
Control and stabilization problem for a class of fourth-order nonlinear Schrödinger equation on boundaryless compact manifold
Yilin Song, Jiqiang Zheng, Ruihan Zhou
In this paper, we study the stabilization property and large time controllability for a class of fourth-order Schrödinger equations on a compact manifold without boundary in dimens…
Bochner-Riesz means on a conical singular manifold
Qiuye Jia, Junyong Zhang, Jiqiang Zheng
We prove a sharp -boundedness criterion for Bochner-Riesz multipliers on flat cones . The operator is bounded on fo…
Negative Order Bochner-Riesz Operators for the Critical Magnetic Schrödinger Operator in
Huanqing Guo, Junyong Zhang, Jiqiang Zheng
This paper studies the sharp - boundedness of the Bochner-Riesz operator associated with a scaling-critical magnetic Schrödinger operato…