Abstract
An analysis of the backscattering data for the Schrodinger operator in odd dimensions n3 motivates the introduction of the backscattering transform [image omitted]. This is an entire analytic mapping and we write [image omitted] where BNv is the Nth order term in the power series expansion at v=0. In this paper we study estimates for BNv in H(s) spaces, and prove that Bv is entire analytic in vH(s)E' when s(n-3)/2.
| Original language | English |
|---|---|
| Pages (from-to) | 233-256 |
| Journal | Communications in Partial Differential Equations |
| Volume | 34 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2009 |
Subject classification (UKÄ)
- Mathematics
Keywords
- Ultra-hyperbolic operator
- Backscattering
- Scattering matrix
- Wave
- equation