10 citations · 21 across the 10 of their papers we have counts for
10 papers
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…
Quantitative Bounds on the Rate of Approach to Equilibrium for some One-Dimensional Stochastic Non-Linear Schrödinger Equations
Eric A. Carlen, Jürg Fröhlich, Joel Lebowitz +1
We establish quantitative bounds on the rate of approach to equilibrium for a system with infinitely many degrees of freedom evolving according to a one-dimensional focusing nonlin…
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…
Integrals of products of Hermite functions
Wei-Min Wang
We compute the integrals of products of Hermite functions using the generating functions. The precise asymptotics of 4 Hermite functions are presented below. This estimate is relev…
Anderson Localization for Time Quasi Periodic Random Schödinger and Wave Operators
Jean Bourgain, Wei-Min Wang
We prove that at large disorder, with large probability and for a set of Diophantine frequencies of large measure, Anderson localization in is {\it stable} under localiz…
Anderson Localization for Time Periodic Random Schrödinger operators
Avy Soffer, Wei-Min Wang
We prove that at large disorder, Anderson localization in is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure…