Showing math.APShow all
3 papers · 1 filter
math.AP2025
Geometric condition for the observability of electromagnetic Schrödinger operators on
Kévin Le Balc'h, Jingrui Niu, Chenmin Sun
In this article we revisit the observability of the Schrödinger equation on the two-dimensional torus. In contrast to the Schrödinger operator with a purely electric potential, for…
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 s…
math.AP2024
Heat Flows with Prescribed Singularities from 3-dimensional Manifold
Jie Ji, Jingru Niu
In this paper, we study singular heat flows from a 3-dimensional complete bounded Riemannian manifold without boundary into the hyperbolic space with prescribe singularity along a…