Ground states of linearly coupled Schrodinger systems
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Date
2017-01-05
Authors
Liu, Haidong
Journal Title
Journal ISSN
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. Electronic Journal of Differential Equations, 2017(05), pp. 1-10.
Rights
Attribution 4.0 International