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. Electronic Journal of Differential Equations, 1997(12), pp. 1-18.
Rights
Attribution 4.0 International