arXiv Open Access 2024

Qualitative properties of the heat content

Michiel van den Berg Katie Gittins

Lihat Sumber

Abstrak

We obtain monotonicity and convexity results for the heat content of domains in Riemannian manifolds and in Euclidean space subject to various initial temperature conditions. We introduce the notion of a strictly decreasing temperature set, and show that it is a sufficient condition to ensure monotone heat content. In addition, in Euclidean space, we construct a domain and an initial condition for which the heat content is not monotone, as well as a domain and an initial condition for which the heat content is monotone but not convex.

Topik & Kata Kunci

math.AP

Penulis (2)

Michiel van den Berg

Katie Gittins

Format Sitasi

APA MLA BibTeX

Berg, M.v.d., Gittins, K. (2024). Qualitative properties of the heat content. https://arxiv.org/abs/2408.02447

Akses Cepat

Lihat di Sumber

Informasi Jurnal

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