Global energy solution to the Schrödinger equation coupled with the Chern-Simons gauge and neutral field

DOI10.1155/2018/3962062zbMath1410.35201OpenAlexW2806821156MaRDI QIDQ1629198

Hyungjin Huh, Bora Moon

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/3962062

zbMATH Keywords

Cauchy problemuniqueness of solutionChern-Simons-Schrödinger equationCoulomb guage conditionGagliardo-Nirenberg inequailityneutral field

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Remark on a semirelativistic equation in the energy space
• Energy solution to the Chern-Simons-Schrödinger equations
• Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
• Problème de Cauchy pour des systèmes hyperboliques semi-linéaires
• On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
• \(L^p-L^q\) estimates for the Klein-Gordon equation
• On coupled Klein-Gordon-Schrödinger equations. II
• Existence and uniqueness of the solution to the modified Schrödinger map
• A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations
• Blow-up solutions of the Chern–Simons–Schrödinger equations
• Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
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