The Inverse Back Scattering Problem for the Schroedinger Equation in Two Space Dimensions.
Abstract
This paper is concerned with determining a potential q(x) for the steady state Schroedinger equation in two space variables, x = (x1, x2): (1.1) (Delta + omega 2 - q) u = 0. It is assumed there are no bound states. The data come from the far field scattered by plane waves impinging in a range of directions but measured only in the opposite directions. More precisely let p(e, omega, x) be a solution of (1.1) which for e.x = - infinity behaves like e x p(-i omega e.x) plus a scattered wave behaving like e x p (i omega e.x). Here e is a unit vector. Clearly this requires some conditions of decay on q.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1987
- Accession Number
- ADA185603
Entities
People
- Cathleen S. Morawetz
Organizations
- New York University