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Global Energy Solution to the Schrödinger Equation Coupled with the Chern-Simons Gauge and Neutral Field
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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 the conservation of total energy and find a bound for the nondefinite term.
American Psychological Association (APA)
Huh, Hyungjin& Moon, Bora. 2018. Global Energy Solution to the Schrödinger Equation Coupled with the Chern-Simons Gauge and Neutral Field. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119145
Modern Language Association (MLA)
Huh, Hyungjin& Moon, Bora. Global Energy Solution to the Schrödinger Equation Coupled with the Chern-Simons Gauge and Neutral Field. Advances in Mathematical Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1119145
American Medical Association (AMA)
Huh, Hyungjin& Moon, Bora. Global Energy Solution to the Schrödinger Equation Coupled with the Chern-Simons Gauge and Neutral Field. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119145
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119145