Abstract
The authors use constructive methods to investigate the spectral theory of the Benjamin-Ono equation. Since the linearization series used previously is singular, they replace it with an improved series obtained by finite-rank renormalization. This introduces additional scattering data, which are shown to be dependent upon a single function, though not the usual one. They then prove the continuity of the direct and inverse scattering transforms defined by the improved series for small complex potentials.
| Original language | English |
|---|---|
| Article number | 011 |
| Pages (from-to) | 825-861 |
| Number of pages | 37 |
| Journal | Inverse Problems |
| Volume | 6 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1990 |