Strauss, Walter A.; Majda, George; Wei, Musheng Imaginary poles of radial potentials. (English) Zbl 0641.35052 Mat. Apl. Comput. 6, 17-24 (1987). Let q(r) be a spherically symmetric potential of compact support in three dimensions. There exists a (growing or decaying) mode of the form exp(kt)p(r) with k real if q(r) is non-positive but no such a solution exists if q(r) is non-negative. Cited in 3 Documents MSC: 35P25 Scattering theory for PDEs 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:scattering frequencies; growing and decaying modes; spherically symmetric potential; compact support; non-negative PDF BibTeX XML Cite \textit{W. A. Strauss} et al., Mat. Apl. Comput. 6, 17--24 (1987; Zbl 0641.35052) OpenURL