Perturbations of globally hypoelliptic operators (Q1340456)
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scientific article; zbMATH DE number 703249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbations of globally hypoelliptic operators |
scientific article; zbMATH DE number 703249 |
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Perturbations of globally hypoelliptic operators (English)
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19 December 1994
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The author investigates when perturbations of globally hypoelliptic (GH) operators on a torus are again GH. It is shown that nonelliptic, constant coefficient, first order operators become generically non-GH whereas operators of order bigger or equal to three possess a stability. In the order-two borderline case examples are discussed where the GH-property is preserved under a parameter dependent perturbation except for a discrete set of a parameters.
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globally hypoelliptic operators on a torus
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