Uniform convergence of Green’s functions

DOI10.1080/17476933.2018.1460822zbMath1416.31003arXiv1705.02542OpenAlexW2612754332MaRDI QIDQ4629081

Leonid V. Kovalev, Sergeĭ Ivanovich Kalmykov

Publication date: 25 March 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02542

zbMATH Keywords

Green's functionconformal mapkernel convergence

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (1)

Continuity of logarithmic capacity

Cites Work

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• Two-dimensional critical percolation: the full scaling limit
• Asymptotic behavior of the capacity of a condenser as some of its plates contract to points
• Frechet distance and the uniform convergence of quasiconformal mappings
• Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence
• Metric properties of harmonic measures
• Classical potential theory and its probabilistic counterpart.

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