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Power series solutions to basic stationary boundary value problems of elasticity (1998)

Kozhevnikov, Alexander ; Lepsky, Olga

Springer

Integral equations and operator theory 31 (1998), S. 449-469

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ISSN: 1420-8989

Keywords: 73C02 ; 35J45 ; 35Q30 ; 76D07

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The four basic stationary boundary value problems of elasticity for the Lamé equation in a bounded domain of ℝ3 are under consideration. Their solutions are represented in the form of a power series with non-positive degrees of the parameter ω=1/(1–2σ), depending on the Poisson ratio σ. The “coefficients” of the series are solutions of the stationary linearized non-homogeneous Stokes boundary value problems. It is proved that the series converges for any values of ω outside of the minimal interval with the center at the origin and of radiusr≥1, which contains all of the Cosserat eigenvalues.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01228102

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