Parametrices and propagation of singularities near gliding points for mixed problems for symmetric hyperbolic systems. I (Q1062209)
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scientific article; zbMATH DE number 3912888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametrices and propagation of singularities near gliding points for mixed problems for symmetric hyperbolic systems. I |
scientific article; zbMATH DE number 3912888 |
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Parametrices and propagation of singularities near gliding points for mixed problems for symmetric hyperbolic systems. I (English)
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1984
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The author studies the construction of a microlocal parametrix and the propagation of singularities for mixed problems for symmetric first order systems. He treats the case when gliding points appear and the construction of the microlocal parametrix involves the Airy function \(A_ 0(z)=Ai(-z)\) having zeros on the positive real axis. The boundary conditions satisfy some assumption imposed on the Lopatinski determinant. The results are only announced.
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microlocal parametrix
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propagation of singularities
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mixed problems
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symmetric first order systems
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gliding points
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Airy function
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Lopatinski determinant
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