• Login
    View Item 
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Lipschitz stability in the lateral Cauchy problem for elasticity system

    Date
    2003-08-01
    Author
    Cheng, Jin
    Isakov, Victor, 1947-
    Yamamoto, Masahiro
    Zhou, Qi
    Metadata
    Show full item record
    Citation
    Cheng, Jin; Isakov, Victor; Yamamoto, Masahiro; Zhou, Qi. 2003. Lipschitz stability in the lateral Cauchy problem for elasticity system. J. Math. Kyoto Univ. Volume 43, Number 3 (2003), 475-501.
    Abstract
    We consider the isotropic elasticity system: ρ∂2 t u − μ(Δu + ∇(∇Tu))−∇(λ∇Tu) − 3 X j=1 ∇μ · (∇uj + ∂ju)ej = 0 in Ω× (0, T) for the displacement vector u = (u1, u2, u3) depending on x ∈ Ω and t ∈ (0, T) where Ω is a bounded domain in R3 with the C2-boundary, and we assume the density ρ ∈ C2(Ω× [0, T]) and the Lam´e parameters μ, λ ∈ C3(Ω × [0, T]). We will give Lipschitz stability estimates for solutions u to the above elasticity system with the lateral boundary data u = g on ∂Ω × (0, T), ∂νu = h on Γ × (0, T) where Γ is some part of ∂Ω. Our proof is based on (1) a Carleman estimate with boundary data, (2) cut-off technique, and (3) principal diagonalization of the Lam´e system.
    Description
    Open Access. Click on the link to access the article at the publisher's website.
    URI
    http://hdl.handle.net/10057/6070
    http://projecteuclid.org/euclid.kjm/1250283691
    Collections
    • MATH Research Publications

    Browse

    All of Shocker Open Access RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsBy TypeThis CollectionBy Issue DateAuthorsTitlesSubjectsBy Type

    My Account

    LoginRegister

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    DSpace software copyright © 2002-2021  DuraSpace
    Contact Us | Send Feedback
    DSpace Express is a service operated by 
    Atmire NV