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 |
