3

Symmetry for the wave equation on torus: sharp unique continuation and observability conditions for spacetime regions
In this work, we discover a new symmetry structure for the 1D wave equations associated with spacetime observable regions: observable …
Jingrui NIU, Ming Wang, Shengquan Xiang
Preprint
The periodic KdV with control on space-time measurable sets
In this paper, we establish the local exact controllability of the KdV equation on torus around equilibrium states, where both the …
Jingrui NIU, Ming Wang, Shengquan Xiang
Preprint
Geometric condition for the observability of electromagnetic Schrödinger operators on T^2$
In this article, we revisit the observability of the Schrödinger equation on the two-dimensional torus. In contrast to the Schrödinger …
Kévin Le Balc'h, Jingrui NIU, Chenmin Sun
Preprint
Observability and controllability for Schrödinger equations in the semi-periodic setting
Strichartz estimates, well-posedness theory and long time behavior for (nonlinear) Schrödinger equations on waveguide manifolds are …
Jingrui NIU, Zehua Zhao
Preprint
Small-time local controllability of a KdV system for all critical lengths
In this paper, we consider the small-time local controllability problem for the KdV system on an interval with a Neumann boundary …
Jingrui NIU, Shengquan Xiang
Preprint