Model Elliptic Boundary-Value Problems for Pseudodifferential Operators in Canonical Nonsmooth Domains
- Авторы: Vasilyev V.B.1
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Учреждения:
- Lipetsk State Technical University
- Выпуск: Том 234, № 4 (2018)
- Страницы: 397-406
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241914
- DOI: https://doi.org/10.1007/s10958-018-4018-3
- ID: 241914
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Аннотация
We consider a simplest elliptic pseudodifferential equation in a multi-dimensional cone (multi-dimensional angle) and describe all possible structures of its solutions related to the wave factorization of the elliptic symbol. Depending on the index of wave factorization, we consider various statements of well-posed boundary-value problems. The existence of solutions is studied in Sobolev–Slobodetskii spaces.
Об авторах
V. Vasilyev
Lipetsk State Technical University
Автор, ответственный за переписку.
Email: vladimir.b.vasilyev@gmail.com
Россия, Lipetsk
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