Energy Solution to the Chern‐Simons‐Schrödinger Equations

Hyungjin Huh

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We prove that the Chern‐Simons‐Schrödinger system, under the condition of a Coulomb gauge, has a unique local‐in‐time solution in the energy space H1(ℝ2). The Coulomb gauge provides elliptic features for gauge fields A0, Aj. The Koch‐ and Tzvetkov‐type Strichartz estimate is applied with Hardy‐Littlewood‐Sobolev and Wente′s inequalities.

Date: 2013
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https://doi.org/10.1155/2013/590653

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:590653

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