Geodesic
Asymptotic approximations for a new eigenvalue in linear problems without a threshold
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 1, pp. 118-127 
D. E. Pelinovsky; C. Sulem. Asymptotic approximations for a new eigenvalue in linear problems without a threshold. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 1, pp. 118-127. http://geodesic.mathdoc.fr/item/TMF_2000_122_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study the criterion for a new eigenvalue to appear in the linear spectral problem associated with the intermediate long-wave equation. We compute the asymptotic value of the new eigenvalue in the limit of a small potential using a Fourier decomposition method. We compare the results with those for the Schrödinger operator with a radially symmetrical potential.

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