Carnot-Carath\'{e}odory metrics associated to degenerate elliptic operators in three dimensions
| Autor: | Korobenko, Lyudmila, Meister, Florian, Ross, Olive |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | This note is a companion paper to arXiv:1608.01630 [math.CA]. Here we generalize some of the geometric results of arXiv:1608.01630 [math.CA] to the case of a $3\times 3$ matrix function $A(x)\approx \mathrm{diag}\{1,f(x_1), g(x_1)\}$. More precisely, we make explicit calculations of the geodesics in the Carnot-Carath\'{e}odory space associated to $A$, and provide estimates on the Lebesgue measures of metric balls centered at the origin in that space. |
| Databáze: | arXiv |
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