Now showing items 1-2 of 2

    • Scalar and vector tomography for the weighed transport equation 

      Thompson, Nathan L. (Wichita State University, 2018-05)
      Beginning with the weighted transport equation, P u(x, ω) = hω, ∇xu(x, ω)i + µ(x)u(x, ω) = ρ(x, ω)a(x), x ∈ ω ⊂ R 2 , we examine the properties of acoustic waves that travel below the surface of a solid, such as the ...
    • Stability estimates for inverse problems of some elliptic equations 

      Ingle, William Nathan (Wichita State University, 2011-12)
      In this dissertation we obtain new Carleman formulas for the solution of the Cauchy problem for equations P u = h, in Ω, u|E = f , where E ⊂ ∂Ω and | E | > 0. Our elliptic operator is of the form P = [ [2∂¯ 0 ; ...