Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries (original) (raw)
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Let u = u(q) satisfy a hyperbolic equation with impulsive input: ∂ 2 t u(x, t) − u(x, t) + q(x)u(x, t) = δ(x 1)δ (t) and let u| t<0 = 0. Then we consider an inverse problem of determining q(x), x ∈ Ω from data u(q)| S T and (∂u(q)/∂ν