A1 Journal article (refereed)
A note on the capacity estimate in metastability for generic configurations (2024)
Avelin, B., & Julin, V. (2024). A note on the capacity estimate in metastability for generic configurations. Manuscripta Mathematica, Early online. https://doi.org/10.1007/s00229-024-01555-1
JYU authors or editors
Publication details
All authors or editors: Avelin, Benny; Julin, Vesa
Journal or series: Manuscripta Mathematica
ISSN: 0025-2611
eISSN: 1432-1785
Publication year: 2024
Publication date: 08/04/2024
Volume: Early online
Publisher: Springer
Publication country: Germany
Publication language: English
DOI: https://doi.org/10.1007/s00229-024-01555-1
Publication open access: Openly available
Publication channel open access: Partially open access channel
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/94375
Web address of parallel published publication (pre-print): https://arxiv.org/abs/2210.08787
Abstract
In this paper we further develop the ideas from Geometric Function Theory initially introduced in Avelin et al. (Commun Math Phys 404:401–437, 2023), to derive capacity estimate in metastability for arbitrary configurations. The novelty of this paper is twofold. First, the graph theoretical connection enables us to exactly compute the pre-factor in the capacity. Second, we complete the method from Avelin et al. (Commun Math Phys 404:401–437, 2023) by providing an upper bound using Geometric Function Theory together with Thompson’s principle, avoiding explicit constructions of test functions.
Keywords: potential theory; partial differential equations; complex analysis
Free keywords: 31B15; 35Q84
Contributing organizations
Related projects
- Variational problems of isoperimetric type. Stability and Geometric flows (research costs)
- Julin, Vesa
- Research Council of Finland
Ministry reporting: Yes
Preliminary JUFO rating: 1