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dc.contributor.authorDomingos Cavalcanti, V. N. ( Orcid Icon 0000-0002-1047-3763 )
dc.date.accessioned2018-08-30T16:41:42Z
dc.date.available2018-08-30T16:41:42Z
dc.date.issued1997-07-31
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.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/7665
dc.description.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.

en_US
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectBehaviour near the boundaryen_US
dc.subjectControllabilityen_US
dc.subjectElasticity systemen_US
dc.titleBehaviour Near the Boundary for Solutions of Elasticity Systemsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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