Space Quasiconformal Mappings and Neumann Eigenvalues in Fractal Domains
Analysis of PDEs
2017-08-02 v1
Abstract
We study the variation of the Neumann eigenvalues of the -Laplace operator under quasiconformal perturbations of space domains. This study allows to obtain lower estimates of the Neumann eigenvalues in fractal type domains. The suggested approach is based on the geometric theory of composition operators in connections with the quasiconformal mapping theory.
Keywords
Cite
@article{arxiv.1708.00264,
title = {Space Quasiconformal Mappings and Neumann Eigenvalues in Fractal Domains},
author = {V. Gol'dshtein and R. Hurri-Syrjänen and A. Ukhlov},
journal= {arXiv preprint arXiv:1708.00264},
year = {2017}
}
Comments
15 pages