Energy solution to the Chern-Simons-Schrödinger equations (Q370054)
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scientific article; zbMATH DE number 6209356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Energy solution to the Chern-Simons-Schrödinger equations |
scientific article; zbMATH DE number 6209356 |
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Energy solution to the Chern-Simons-Schrödinger equations (English)
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19 September 2013
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Summary: 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 \(H^1(\mathbb R^2)\). The Coulomb gauge provides elliptic features for gauge fields \(A_0, A_j\). The Koch- and Tzvetkov-type Strichartz estimate is applied with Hardy-Littlewood-Sobolev and Wente's inequalities.
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