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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 3, Pages 621-623
doi:10.1155/S0161171285000679

Local energy decay for waves governed by a system of nonlinear Schrödinger equations in a nonuniform medium

J.E. Lin

Department of Mathematical Sciences, George Mason University, Fairfax 22030, Virginia, USA

Abstract

We show that the local energy of a smooth localized solution to a system of coupled nonlinear Shrödinger equations in a certain nonuniform medium decays to zero as the time approaches infinity.