3 papers
math.AP2025
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…
eess.SY2025
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…
math.AP2025
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…