Mixed Dirichlet–Steklov Problem for the Biharmonic Equation in Weighted Spaces
- Авторы: Matevossian O.A.1,2
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Учреждения:
- Moscow Aviation Institute (National Research University)
- Steklov Mathematical Institute of Russian Academy of Sciences
- Выпуск: Том 234, № 4 (2018)
- Страницы: 440-454
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241921
- DOI: https://doi.org/10.1007/s10958-018-4021-8
- ID: 241921
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Аннотация
We address the uniqueness of weak solutions of the mixed Dirichlet–Steklov problem for the biharmonic equation in the exterior of a compact set in the class of functions having a finite Dirichlet integral with the weight |x|a. Depending on the parameter a, we establish some uniqueness theorems and obtain precise formulas for the dimension of the space of solutions.
Об авторах
O. Matevossian
Moscow Aviation Institute (National Research University); Steklov Mathematical Institute of Russian Academy of Sciences
Автор, ответственный за переписку.
Email: hmatevossian@graduate.org
Россия, Moscow; Moscow
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