On the first stationary boundary-value problem of elasticity in weighted Sobolev spaces in exterior domains of R3

A. Kozhevnikov

doi:10.1007/BF01182623

On the first stationary boundary-value problem of elasticity in weighted Sobolev spaces in exterior domains of R³

A. Kozhevnikov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper solves the first boundary-value problem of elasticity both in interior and exterior domains of R³. The equations are set in weighted Sobolev spaces for exterior domains that describe the decay of the functions at infinity. The results established include existence, regularity, and convergence of iterations of the solution.

Original language	English
Pages (from-to)	183-190
Number of pages	8
Journal	Applied Mathematics and Optimization
Volume	34
Issue number	2
DOIs	https://doi.org/10.1007/BF01182623
State	Published - 1996

Keywords

Elasticity
Exterior domains
First boundary-value problem
Stokes problem
Weighted Sobolev spaces

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

Access to Document

10.1007/BF01182623

Cite this

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title = "On the first stationary boundary-value problem of elasticity in weighted Sobolev spaces in exterior domains of R3",

abstract = "This paper solves the first boundary-value problem of elasticity both in interior and exterior domains of R3. The equations are set in weighted Sobolev spaces for exterior domains that describe the decay of the functions at infinity. The results established include existence, regularity, and convergence of iterations of the solution.",

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KW - Exterior domains

KW - First boundary-value problem

KW - Stokes problem

KW - Weighted Sobolev spaces

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