Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions (Q5928721)
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scientific article; zbMATH DE number 1583416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions |
scientific article; zbMATH DE number 1583416 |
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Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions (English)
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1 April 2001
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The paper deals with a two-dimensional model of an elastic Kirchhoff equation with free boundary conditions. The authors used pseudo-differential technique, more precisely microlocal analysis technique, to obtain sharp trace and interior regularity results. Note that the equation under consideration does not satisfy Shapiro-Lopatinsky's conditions. The obtained results can be applied to exact controllability problems as well.
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microlocal analysis technique
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Shapiro-Lopatinsky's conditions
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exact controllability
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