A note on well-posedness of the displacement problem in linear elastostatics
type: Item
instance of: scholarly article
title: A note on well-posedness of the displacement problem in linear elastostatics
zbMATH Open document ID: 0608.73007
DOI: 10.1007/BF00953682
author: Remigio Russo
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1986-01-01T00:00:00Z
review text: In this paper it is established that the displacement problem of homogeneous linear elastostatics in exterior domains is well-posed in the Hilbert space of all vector-valued functions having a finite Dirichlet integral, provided the elasticity tensor is strongly elliptic.
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 35J45
Mathematics Subject Classification ID: 35B30
zbMATH DE Number: 3984660
zbMATH Keywords: displacement problem
zbMATH Keywords: homogeneous linear elastostatics
zbMATH Keywords: exterior domains
zbMATH Keywords: well-posed
zbMATH Keywords: Hilbert space of all vector-valued functions
zbMATH Keywords: finite Dirichlet integral
zbMATH Keywords: elasticity tensor
zbMATH Keywords: strongly elliptic
MaRDI profile type: Publication
cites work: Q4079139
cites work: Q5800987
cites work: On the well-posedness of the equilibrium problem for linear elasticity in unbounded regions
cites work: Uniqueness theorems for displacement fields with locally finite energy in linear elastostatics
cites work: Uniqueness in linear elastostatics for problems involving unbounded bodies
cites work: Q3735132
full work available at URL: https://doi.org/10.1007/bf00953682
OpenAlex ID: W2059274116
description: scientific article; zbMATH DE number 3984660