35 citations · 43 across the 6 of their papers we have counts for
6 papers
Control estimates for 0th order pseudodifferential operators
Hans Christianson, Jian Wang, Ruoyu P. T. Wang
We introduce the control conditions for 0th order pseudodifferential operators whose real parts satisfy the Morse--Smale dynamical condition. We obtain microlocal cont…
The scattering phase: seen at last
Jeffrey Galkowski, Pierre Marchand, Jian Wang +1
The scattering phase, defined as where is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when deali…
Mathematics of internal waves in a 2D aquarium
Semyon Dyatlov, Jian Wang, Maciej Zworski
Following theoretical and experimental work of Maas et al we consider a linearized model for internal waves in effectively two dimensional aquaria. We provide a precise description…
Dynamics of resonances for 0th order pseudodifferential operators
Jian Wang
We study the dynamics of resonances of analytic perturbations of 0th order pseudodifferential operators . In particular, we prove a Fermi golden rule for resonances of …
The scattering matrix for 0th order pseudodifferential operators
Jian Wang
We use microlocal radial estimates to prove the full limiting absorption principle for , a self-adjoint 0th order pseudodifferential operator satisfying hyperbolic dynamical ass…
Efficient Real Space Solution of the Kohn-Sham Equations with Multiscale Techniques
Jian Wang, Thomas L. Beck
We present a multigrid algorithm for self consistent solution of the Kohn-Sham equations in real space. The entire problem is discretized on a real space mesh with a high order fin…