Inverse wave scattering in the Laplace domain: A factorization method approach

  title={Inverse wave scattering in the Laplace domain: A factorization method approach},
  author={Andrea Mantile and Andrea Posilicano},
  journal={Proceedings of the American Mathematical Society},
Let $\Delta_{\Lambda}\le \lambda_{\Lambda}$ be a semi-bounded self-adjoint realization of the Laplace operator with boundary conditions (Dirichlet, Neumann, semi-transparent) assigned on the Lipschitz boundary of a bounded obstacle $\Omega$. Let $u^{\Lambda}_{f}$ and $u^{0}_{f}$ denote the solutions of the wave equations corresponding to $\Delta_{\Lambda}$ and to the free Laplacian $\Delta$ respectively, with a source term $f$ concentrated at time $t=0$ (a pulse). We show that for any fixed… 
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