Keith Rogers (Instituto de Ciencias Matemáticas)
Title: On control of sobolev norms with localized data
Abstract: We will consider the inverse scattering problem at a fixed energy
in the plane. That is to recover a potential from the scattered plane waves
with a fixed frequency, incoming from all directions and then measured
in all@directions. We will provide explicit formulae with which one can
recover@compactly supported potentials with half a derivative in L2, and
show that below this level of regularity the recovery process can fail.@This
is joint work with Kari Astala and Daniel Faraco.