On the semi-additivity of the 1/2-symmetric caloric capacity
Abstract
In this paper we study properties of a variant of the $1/2$-caloric capacity, called $1/2$-symmetric caloric capacity. The latter is associated simultaneously with the $1/2$-fractional heat equation and its conjugate. We establish its semi-additivity in $\mathbb{R}^{n+1}$ and, moreover, we compute explicitly the $1/2$-symmetric caloric capacity of rectangles, which illustrates its anisotropic behavior.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Graph theory and applications
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Publication date
- 18 September 2026
- Language
- EN