10 citations · 21 across the 10 of their papers we have counts for
6 papers · 1 filter
A separation lemma on sub-lattices
W. -M. Wang
We prove that Bourgain's separation lemma, Lemma~20.14 [B2] holds at fixed frequencies and their neighborhoods, on sub-lattices, sub-modules of the dual lattice associated with a q…
Quasi-Periodic Solutions For Nonlinear Klein-Gordon Equations
Wei-Min Wang
We present a set of time quasi-periodic solutions to a nonlinear Klein-Gordon equation with a decaying nonlinear term on the torus in arbitrary dimensions. This paper generalizes t…
Quasi-periodic solutions for nonlinear wave equations (announcement)
Wei-Min Wang
We construct time quasi-periodic solutions to nonlinear wave equations on the torus in arbitrary dimensions. All previously known results (in the case of zero or a multiplicative p…
Eigenfunction localization for the 2D periodic Schrödinger operator
Wei-Min Wang
We prove that for any {\it fixed} trigonometric polynomial potential satisfying a genericity condition, the spectrum of the two dimension periodic Schrödinger operator has finite m…
Spectral Methods in PDE
Wei-Min Wang
This is to review some recent progress in PDE. The emphasis is on (energy) supercritical nonlinear Schrödinger equations. The methods are applicable to other nonlinear equations.
Quasi-periodic solutions of the Schrödinger equation with arbitrary algebraic nonlinearities
Wei-Min Wang
We present a geometric formulation of existence of time quasi-periodic solutions. As an application, we prove the existence of quasi-periodic solutions of frequencies, $b\leq d…