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

Joint Authors

Moon, Bora
Huh, Hyungjin

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

Physics

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