Behaviour Near the Boundary for Solutions of Elasticity Systems

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dc.contributor.authorDomingos Cavalcanti, V. N.
dc.date.accessioned2018-08-30T16:41:42Z
dc.date.available2018-08-30T16:41:42Z
dc.date.issued1997-07-31
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDomingos Cavalcanti, V. N. (1997). Behaviour near the boundary for solutions of elasticity systems. Electronic Journal of Differential Equations, 1997(12), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7665
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectBehaviour near the boundary
dc.subjectControllability
dc.subjectElasticity system
dc.titleBehaviour Near the Boundary for Solutions of Elasticity Systems
dc.typeArticle

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