Now showing items 1-3 of 3

    • An inverse problem for a dynamical Lamé system with residual stress 

      Isakov, Victor, 1947-; Wang, Jenn-Nan; Yamamoto, Masahiro (Society for Industrial and Applied Mathematics, 2007-12-19)
      In this paper we prove a Hölder and Lipschitz stability estimates of determining all coefficients of a dynamical Lamé system with residual stress, including the density, Lam´e parameters, and the residual stress, by three ...
    • Lipschitz stability in the lateral Cauchy problem for elasticity system 

      Cheng, Jin; Isakov, Victor, 1947-; Yamamoto, Masahiro; Zhou, Qi (Kyoto University, 2003-08-01)
      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 ...
    • Uniqueness and stability of determining the residual stress by one measurement 

      Isakov, Victor, 1947-; Wang, Jenn-Nan; Yamamoto, Masahiro (Taylor & Francis Group, LLC, 2007)
      In this paper we prove a Hölder and Lipschitz stability estimates of determining the residual stress by a single pair of observations from a part of the lateral boundary or from the whole boundary. These estimates imply ...