On the parabolic pseudodifferential operators of variable order in Sobolev spaces with weighted norms (Q915027)
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scientific article; zbMATH DE number 4150991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the parabolic pseudodifferential operators of variable order in Sobolev spaces with weighted norms |
scientific article; zbMATH DE number 4150991 |
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On the parabolic pseudodifferential operators of variable order in Sobolev spaces with weighted norms (English)
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1988
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The author considers a class of pseudodifferential operators of variable order and quasi-homogeneous type, acting on weighted Sobolev spaces. The related calculus applies to boundary value problems of parabolic type. The results, which were announced in a preceding note of the author [Sov. Math., Dokl. 25, 132-135 (1982); translation from Dokl. Akad. Nauk SSSR 262, 804-807 (1982; Zbl 0497.35085)], are presented and proved here with good preciseness of style.
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variable order
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quasi-homogeneous
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weighted Sobolev spaces
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0.9317437
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0.9086298
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0.9079799
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0.8971195
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