Global Energy Solution to the Schrödinger Equation Coupled with the Chern-Simons Gauge and Neutral Field

We study the Cauchy problem of the Chern-Simons-Schrödinger equations with a neutral field, under the Coulomb gauge condition, in energy space H1(R2). We prove the uniqueness of a solution by using the Gagliardo-Nirenberg inequality with the specific constant. To obtain a global solution, we show th...

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Bibliographic Details
Main Authors: Hyungjin Huh, Bora Moon
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/3962062
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