Wall, D. J. N.2016-03-152016-03-1519900110-537Xhttp://hdl.handle.net/10092/11902The problem of identification of one spatially varying material property, defined within a slab, from boundary measurements is examined. This inverse problem is described by a functional differential equation. Uniqueness and existence of the solution of this inverse problem and the associated direct problem is proven. Of major importance in any inverse problem are the properties of the operator mapping the boundary measurements to the material property. It is shown that this operator is continuous and differentiable.enAll Rights ReservedTime domain inverse scatteringwave propagation in inhomogeneous mediaexistence and uniqueness of solutions to an inverse problemregularity of solutions to an inverse problemDiscussion / Working PapersFields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490410 - Partial differential equationsField of Research::01 - Mathematical Sciences::0105 - Mathematical Physics