The necessary conditions for local solvability of a class of pseudodifferential operators with double involutory characteristics (Q1109241)
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scientific article; zbMATH DE number 4069471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The necessary conditions for local solvability of a class of pseudodifferential operators with double involutory characteristics |
scientific article; zbMATH DE number 4069471 |
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The necessary conditions for local solvability of a class of pseudodifferential operators with double involutory characteristics (English)
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1988
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New necessary conditions for local solvability of pseudodifferential operators with degenerate principal symbols on a manifold with dimension n are given. The operator \[ P(x,D)=Op(\xi^ 2_ 1+x^ 2_ 2\xi^ 2_ 2+(-1+ix_ 1)\xi_ 2) \] is locally unsolvable in the points \((0,0,0,\xi^ 0_ 2)\), \(\xi^ 0_ 2>0.\) This result follows from the a8, 85)].
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local solvability
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degenerate principal symbols
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0.9557502
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0.94022286
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0.9357599
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0.92541945
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0.9154283
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