Subelliptic mollifiers and a basic pointwise estimate of Poincaré type (Q1374876)
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scientific article; zbMATH DE number 1099267
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subelliptic mollifiers and a basic pointwise estimate of Poincaré type |
scientific article; zbMATH DE number 1099267 |
Statements
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type (English)
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18 December 1997
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The paper proves a pointwise estimate which has many remarkable applications in the analysis of PDEs. By means of an elementary argument involving a family of mollifiers taylored on the subelliptic geometry, the authors characterize domains supporting the Poincaré inequality or the compact embedding and derive the proof of the pointwise estimate.
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subelliptic geometry
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Poincaré inequality
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compact embedding
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