Asymptotic expansions at nonsymmetric cuspidal points
- We study the asymptotics of solutions to the Dirichlet problem in a domain X subset of R3 whose boundary contains a singular point O. In a small neighborhood of this point, the domain has the form {z > root x(2) + y(4)}, i.e., the origin is a nonsymmetric conical point at the boundary. So far, the behavior of solutions to elliptic boundary-value problems has not been studied sufficiently in the case of nonsymmetric singular points. This problem was posed by V.A. Kondrat'ev in 2000. We establish a complete asymptotic expansion of solutions near the singular point.
Author details: | Ibrahim LyGND, Nikolaj Nikolaevič TarkhanovORCiDGND |
---|---|
DOI: | https://doi.org/10.1134/S0001434620070238 |
ISSN: | 0001-4346 |
ISSN: | 1573-8876 |
Title of parent work (English): | Mathematical notes |
Publisher: | Springer Science |
Place of publishing: | New York |
Publication type: | Article |
Language: | English |
Date of first publication: | 2020/08/03 |
Publication year: | 2020 |
Release date: | 2023/01/16 |
Tag: | Dirichlet problem; asymptotic expansions; singular points |
Volume: | 108 |
Issue: | 1-2 |
Number of pages: | 10 |
First page: | 219 |
Last Page: | 228 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Peer review: | Referiert |