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G-capacity under degenerate case and its application
- Publication Year :
- 2021
-
Abstract
- In this paper, we first find a type of viscosity solution of $G$-heat equation under degenerate case, and then obtain the related $G$-capacity $c(\{B_{T}\in A\})$ for any Borel set $A$. Furthermore, we prove that $I_{A}(B_{T})$ has no quasi-continuous version when it is not a constant function.<br />Comment: 10 pages
- Subjects :
- Mathematics - Analysis of PDEs
Mathematics - Probability
60H10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2109.07860
- Document Type :
- Working Paper