arXiv Open Access 2024

On the semi-additivity of the $1/2$-symmetric caloric capacity

Joan Hernández Joan Mateu Laura Prat

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Abstrak

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.

Topik & Kata Kunci

math.AP

Penulis (3)

Joan Hernández

Joan Mateu

Laura Prat

Format Sitasi

APA MLA BibTeX

Hernández, J., Mateu, J., Prat, L. (2024). On the semi-additivity of the $1/2$-symmetric caloric capacity. https://arxiv.org/abs/2405.01195

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓