Anderson Localization for Time Periodic Random Schrödinger Operators

Avy Soffer, Weimin Wang

Type: Article

Publication Date: 2003-01-06

Citations: 11

DOI: https://doi.org/10.1081/pde-120019385

Abstract

Abstract We prove that at large disorder, Anderson localization in Z d is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrödinger equations.

Locations

Communications in Partial Differential Equations - View
arXiv (Cornell University) - View - PDF

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+	Polynomially decaying transmission for the nonlinear Schr�dinger equation in a random medium	1986	P. Devillard Bernard Souillard
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