4 papers
Sparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidity
Yunlei Wang
We study how sparsely a nonzero discrete harmonic function on the standard lattice can be supported. Let , and let denote the l…
Approximate null-controllability of discrete heat equations with potentials on lattices
Yann Bourroux, Philippe Jaming, Yunlei Wang
We investigate approximate null-controllability for semi-discrete heat equations on the lattice with a potential. By establishing spectral inequalities for the disc…
Observability and Semiclassical Control for Schrödinger Equations on Non-compact Hyperbolic Surfaces
Xin Fu, Yulin Gong, Yunlei Wang
We study the observability of the Schrödinger equation on , a non-compact covering space of a compact hyperbolic surface . Using a generalized Bloch theory, functions on …
Curved Ingham inequalities and observability of the toroidal Schr{ö}dinger equation
Bernhard H Haak, Philippe Jaming, Ming Wang +1
We prove that solutions of the toroidal Schr{ö}dinger equation can be observed from suitably curved space-time trajectories, thus of zero Lebesgue measure. To do so, we establish…