Behaviour Near the Boundary for Solutions of Elasticity Systems

Date

1997-07-31

Authors

Domingos Cavalcanti, V. N.

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this article we study the behaviour near the boundary for weak solutions of the system u'' − µ∆u − (λ + µ)∇(α(x) div u) = h, with u(x, t) = 0 on the boundary of a domain Ω ∈ Rn, and u(x, 0) = u0, u' (x, 0) = u1 in Ω. We show that the Sobolev norm of the solution in an ε-neighbourhood of the boundary can be estimated independently of ε.

Description

Keywords

Behaviour near the boundary, Controllability, Elasticity system

Citation

Domingos Cavalcanti, V. N. (1997). Behaviour near the boundary for solutions of elasticity systems. <i>Electronic Journal of Differential Equations, 1997</i>(12), pp. 1-18.

Rights

Attribution 4.0 International

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