2000/06/08 by B. M. Brown, Brown, B. M., M. S. P. Eastham +1
Engineering · Mathematics · #34Exx #34Lxx #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations #math.SP #msc:34Exx #msc:34Lxx
paper · pdf · doi:10.48550/arxiv.math/0006064
arxiv created 2000/06/08 · openalex publication_date 2000/06/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We are concerned with the Sturm-Liouville problem on the half line. We show that when the potential q is subject only to power decay at infinity the L2 solution may be continued into a sector of the so-called un-physical sheet. This gives rise to resonance free regions and the numerical estimation of resonances outside these regions.