5 papers
Nonlinear Schrödinger equation with Ornstein-Uhlenbeck operator
Xueying Yu, Haitian Yue, Zehua Zhao
In this work, we introduce and study nonlinear Schrödinger equations (NLS) with anisotropic dispersion, where the standard Laplacian acts on the Euclidean variable \(x \in \mathbb{…
Pursuit-Evasion Between a Velocity-Constrained Double-Integrator Pursuer and a Single-Integrator Evader
Zehua Zhao, Rui Yan, Jianping He +2
We study a pursuit-evasion game between a double integrator-driven pursuer with bounded velocity and bounded acceleration and a single integrator-driven evader with bounded velocit…
Observability and controllability for Schrödinger equations in the semi-periodic setting
Jingrui Niu, Zehua Zhao
Strichartz estimates, well-posedness theory and long time behavior for (nonlinear) Schrödinger equations on waveguide manifolds are intensively s…
On scattering for two-dimensional quintic Schrödinger equation under partial harmonic confinement
Zuyu Ma, Yilin Song, Ruixiao Zhang +2
In this article, we study the scattering theory for the two dimensional defocusing quintic nonlinear Schrödinger equation(NLS) with partial harmonic oscillator which is given by \b…
Global uniform in estimates for solutions of a system of Hartree-Fock-Bogoliubov type in the case
Jacky Chong, Xin Dong, Manossos Grillakis +2
We extend the results of the 2019 paper by the third and fourth author globally in time. More precisely, we prove uniform in estimates for the solutions , and of a c…