|
This article is cited in 29 scientific papers (total in 29 papers)
Solutions of exterior boundary-value problems for the elasticity system in weighted spaces
H. Matevossian M. V. Lomonosov Moscow State University
Abstract:
The properties of generalized solutions of the exterior Dirichlet and Neumann boundary-value problems are studied for the stationary linear system of elasticity theory in unbounded domains under the assumption that generalized solutions of these problems have finite energy integrals with weight $|x|^a$. Depending on the value of the parameter $a$ uniqueness results are established and explicit formulae for the dimension of the space of solutions of the exterior boundary-value problems are obtained.
Received: 17.01.2000 and 30.01.2001
Citation:
H. Matevossian, “Solutions of exterior boundary-value problems for the elasticity system in weighted spaces”, Mat. Sb., 192:12 (2001), 25–60; Sb. Math., 192:12 (2001), 1763–1798
Linking options:
https://www.mathnet.ru/eng/sm615https://doi.org/10.1070/SM2001v192n12ABEH000615 https://www.mathnet.ru/eng/sm/v192/i12/p25
|
Statistics & downloads: |
Abstract page: | 534 | Russian version PDF: | 225 | English version PDF: | 10 | References: | 62 | First page: | 1 |
|