A necessary condition for the hypoellipticity of second-order equations with alternating characteristic form (Q798505)
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scientific article; zbMATH DE number 3869818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary condition for the hypoellipticity of second-order equations with alternating characteristic form |
scientific article; zbMATH DE number 3869818 |
Statements
A necessary condition for the hypoellipticity of second-order equations with alternating characteristic form (English)
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1983
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A necessary condition for the hypoellipticity of a second order differential operator with real-valued coefficients and alternating characteristic form is proved. The result obtained here is based on some properties of the Dirichlet problem for operators with non-negative quadratic part. When establishing the main theorem the author develops an idea proposed at first in [\textit{A. Nagel} and \textit{E. M. Stein}, Lectures on pseudodifferential operators: Regularity theorems and applications to non-elliptic problems (1979; Zbl 0415.47025)].
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hypoellipticity
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second order differential operator
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real-valued coefficients
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alternating characteristic form
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Dirichlet problem
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operators with non-negative quadratic part
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0.8752500414848328
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0.8134624361991882
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0.7995263338088989
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0.7880706787109375
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