Energy Solution to the Chern-Simons-Schrödinger Equations
Open Access
- 11 March 2013
- journal article
- research article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 2013 (2), 1-7
- https://doi.org/10.1155/2013/590653
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 . The Coulomb gauge provides elliptic features for gauge fields . The Koch- and Tzvetkov-type Strichartz estimate is applied with Hardy-Littlewood-Sobolev and Wente's inequalities.Keywords
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