60 citations · 151 across the 16 of their papers we have counts for
16 papers
Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on
Yunfeng Shi, W. -M. Wang
We establish large sets of Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on , thus extending Anderson localization from the linear (c…
Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on
Hongzi Cong, Yunfeng Shi, W. -M. Wang
Using a Birkhoff normal form transform to impede mode transfer in a finite "barrier", we prove localization of arbitrary data for polynomially long time for the nonlinear…
Diophantine estimates on shifts of trigonometric polynomials on
Yunfeng Shi, W. -M. Wang
We establish Diophantine type estimates on shifts of trigonometric polynomials on the torus , as well as that of their square roots. These estimates arise from the sp…
Anderson localized states for the quasi-periodic nonlinear wave equation on
Yunfeng Shi, W. -M. Wang
We establish large sets of Anderson localized states for the quasi-periodic nonlinear wave equation on , thus extending nonlinear Anderson localization from the random…
Nonlinear Anderson localized states at arbitrary disorder
Wencai Liu, W. -M. Wang
It is classical, following Furstenberg's theorem on positive Lyapunov exponent for products of random SL matrices, that the one dimensional random Schrödinger opera…
Infinite energy quasi-periodic solutions to nonlinear Schrödinger equations on
W. -M. Wang
We present a set of smooth infinite energy global solutions (without spatial symmetry) to the non-integrable, nonlinear Schrödinger equations on . These solutions are space…