| The analytic perturbation procedure is divergent on the continuous spectrum near the threshold of creation of resonances. For scattering on Helmholtz resonator with a small opening we suggest a modified procedure which is convergent and permits to observe the creation of the resonance. The role of the first step (``jump-start'') in that perturbation procedure is played by a solvable model of the resonator, which is completely fitted based on the resonance parameters |
Keywords
Dirichlet-to-Neumann map, Scattering, Operator extension
Math Review Classification
Primary 35J05, 47A40
; Secondary 35p25,47F05
Last Updated
27 March 2005
Length
20p
Availability
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