Email this article On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains
- Authors: Matevossian H.A.1,2
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Affiliations:
- Federal Research Center “Computer Science and Control”
- Moscow Aviation Institute (National Research University “MAI”)
- Issue: Vol 9, No 2 (2017)
- Pages: 151-157
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200785
- DOI: https://doi.org/10.1134/S2070046617020054
- ID: 200785
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Abstract
We study the unique solvability of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a, we prove uniqueness theorem or present exact formulas for the dimension of the solution space of the mixed Dirichlet-Steklov problem in the exterior of a compact set.
About the authors
Hovik A. Matevossian
Federal Research Center “Computer Science and Control”; Moscow Aviation Institute (National Research University “MAI”)
Author for correspondence.
Email: hmatevossian@graduate.org
Russian Federation, Vavilov str. 40, Moscow, 119333; Volokolomskoye shosse 4, Moscow, 125993
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