Email this article Mixed Dirichlet–Steklov Problem for the Biharmonic Equation in Weighted Spaces
- Authors: Matevossian O.A.1,2
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Affiliations:
- Moscow Aviation Institute (National Research University)
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 234, No 4 (2018)
- Pages: 440-454
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241921
- DOI: https://doi.org/10.1007/s10958-018-4021-8
- ID: 241921
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Abstract
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.
About the authors
O. A. Matevossian
Moscow Aviation Institute (National Research University); Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: hmatevossian@graduate.org
Russian Federation, Moscow; Moscow
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