Continuous Sobolev functions with singularity on arbitrary real-analytic sets
| Autor: | Pan, Yifei, Zhang, Yuan |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Near every point of a real-analytic set in $\mathbb R^n$, we make use of Hironaka's resolution of singularity theorem to construct a family of continuous functions in $W^{1, 1}_{loc}$ such that their weak derivatives have (removable) singularity precisely on that set. Comment: 9 pages |
| Databáze: | arXiv |
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