On some differential equations arising in a time domain inverse scattering problem for a dissipative wave equation
The 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.
SubjectsTime domain inverse scattering
- Engineering: Reports