Motivated by the work of Regge ([19, 20]) we are interested in the problem of recovering a radial potential in R from its resonance parameters, which are zeros of the appropriately defined Jost function. For a potential of compact support these may in turn be identified as the complex eigenvalues of a non-selfadjoint SturmLiouville problem with an eigenparameter dependent boundary condition. In...

In this paper, we investigate the spectral properties of singular eigenparameter dependent dissipative problems in Weyl’s limit-circle case with finite transmission conditions. In particular, these transmission conditions are assumed to be regular and singular. To analyze these problems we construct suitable Hilbert spaces with special inner products and linear operators associated with these p...

An analytic solution is presented describing ̄ow to a drain in a semi-in®nite domain bounded by a leaky layer of constant thickness. The solution is developed by applying the method of images to two parallel boundaries: an inhomogeneity boundary and an equipotential boundary. It is then demonstrated that the solution for the problem with the leaky layer approximated by a leaky boundary (a mixed...