A discrete phenomenon in the \(C^{\infty}\) and analytic regularity of the blow-up curve of solutions to the Liouville equation in one space dimension (Q697867)
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scientific article; zbMATH DE number 1801921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete phenomenon in the \(C^{\infty}\) and analytic regularity of the blow-up curve of solutions to the Liouville equation in one space dimension |
scientific article; zbMATH DE number 1801921 |
Statements
A discrete phenomenon in the \(C^{\infty}\) and analytic regularity of the blow-up curve of solutions to the Liouville equation in one space dimension (English)
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17 September 2002
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The author gives a complete discussion of the \(C^{\infty}\) or analytic regularity of blow-up curves for Cauchy problems or some mixed problems for the Liouville equation \(u_{tt}-u_{xx}=e^u.\) Better regularity of the blow-up curve is proved for some boundary conditions.
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Cauchy problem
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mixed problem
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