Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (6)
- Authors
- Matevossian, Hovik A.
- Contact information
- Matevossian, Hovik A.: Federal Research Center "Computer Science and Control" RAS Moscow, Russian Federation; Moscow Aviation Institute (National Research University) Moscow, Russian Federation; ; OCRID: 0000-0002-9895-9628
- Keywords
- biharmonic operator; Dirichlet-Neumann problem; weighted Dirichlet integral
- Abstract
We study the unique solvability of the mixed Dirichlet-Neumann problem for the biharmonic equation in the exterior of a compact set under the assumption that solutions of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a, we obtained uniqueness (non-uniqueness) theorems of the problem or present exact formulas for the dimension of the space of solutions of the mixed Dirichlet-Neumann problem
- Pages
- 755-762
- DOI
- 10.17516/1997-1397-2020-13-6-755-762
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/137562
Journal of Siberian Federal University. Mathematics & Physics / Mixed Biharmonic Dirichlet-Neumann Problem in Exterior Domains
Full text (.pdf)