Higher Order Scattering on Asymptotically Euclidean Manifolds
Keyword(s):
AbstractWe develop a scattering theory for perturbations of powers of the Laplacian on asymptotically Euclidean manifolds. The (absolute) scattering matrix is shown to be a Fourier integral operator associated to the geodesic flow at time π on the boundary. Furthermore, it is shown that on n the asymptotics of certain short-range perturbations of Δk can be recovered from the scattering matrix at a finite number of energies.
2004 ◽
Vol 76
(1)
◽
pp. 1-22
◽
Keyword(s):
2006 ◽
Vol 86
(5)
◽
pp. 403-426
◽
2006 ◽
Vol 31
(6)
◽
pp. 867-906
◽
2013 ◽
Vol 4
(4)
◽
pp. 443-456
2001 ◽
Vol 59
(2)
◽
pp. 269-300
◽
Keyword(s):
2001 ◽
Vol 13
(07)
◽
pp. 891-920
◽