Ground states of linearly coupled Schrodinger systems

Date

2017-01-05

Authors

Liu, Haidong

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article concerns the standing waves of a linearly coupled Schrodinger system which arises from nonlinear optics and condensed matter physics. The coefficients of the system are spatially dependent and have a mixed behavior: they are periodic in some directions and tend to positive constants in other directions. Under suitable assumptions, we prove that the system has a positive ground state. In addition, when the L-infinity-norm of the coupling coefficient tends to zero, the asymptotic behavior of the ground states is also obtained.

Description

Keywords

Linearly coupled Schrödinger system, Ground states, Asymptotic behavior

Citation

Liu, H. (2017). Ground states of linearly coupled Schrodinger systems. <i>Electronic Journal of Differential Equations, 2017</i>(05), pp. 1-10.

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Attribution 4.0 International

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