4 papers · 1 filter
Global Dynamics of the Non-Radial Energy-Critical Inhomogeneous Biharmonic NLS
Carlos M. Guzmán, Sahbi Keraani, Chengbin Xu
We investigate the focusing inhomogeneous nonlinear biharmonic Schrödinger equation \[ i\partial_t u + Δ^2 u - |x|^{-b}|u|^p u = 0 \quad \text{on } \mathbb{R} \times \mathbb{R}^N,…
-estimates for the wave equation with critical magnetic field in higher dimensions
Jialu Wang, Chengbin Xu, Fang Zhang
In this paper, we study the -estimates for the solution to the wave equation with a scaling-critical magnetic potential in Euclidean with . Inspired by the wor…
Strichartz estimates for Critical magnetic Schrödinger operators on flat Euclidean cones
Xiaofen Gao, Jialu Wang, Chengbin Xu +1
In this paper, we study Schrödinger operator perturbed by critical magnetic potentials on the 2D flat cone $Σ= C(\mathbb{S}_ρ^1) = (0, \infty) \times \ma…
-estimates for the wave equation with critical magnetic potential on conical manifolds
Xiaofen Gao, Jialu Wang, Chengbin Xu +1
In this paper, we consider a class of conical singular spaces equipped with the metric , where the cross section is a compact $(n…