Mixed Dirichlet–Steklov Problem for the Biharmonic Equation in Weighted Spaces
- Авторлар: Matevossian O.A.1,2
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Мекемелер:
- Moscow Aviation Institute (National Research University)
- Steklov Mathematical Institute of Russian Academy of Sciences
- Шығарылым: Том 234, № 4 (2018)
- Беттер: 440-454
- Бөлім: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/241921
- DOI: https://doi.org/10.1007/s10958-018-4021-8
- ID: 241921
Дәйексөз келтіру
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.
Авторлар туралы
O. Matevossian
Moscow Aviation Institute (National Research University); Steklov Mathematical Institute of Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: hmatevossian@graduate.org
Ресей, Moscow; Moscow
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