Inverse scattering with partial data on asymptotically hyperbolic manifolds
نویسندگان
چکیده
منابع مشابه
Inverse Scattering on Asymptotically Hyperbolic Manifolds
Scattering is deened on compact manifolds with boundary which are equipped with an asymptotically hyperbolic metric, g: A model form is established for such metrics close to the boundary. It is shown that the scattering matrix at energy exists and is a pseudo-diierential operator of order 2 + 1 ? dim X: The symbol of the scattering matrix is then used to show that except for a discrete set of e...
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We define the forward and backward radiation fields on an asymptotically hyperbolic manifold and show that they give unitary translation representations of the wave group, and as such can be used to define a scattering matrix. We show that this scattering matrix is equivalent to the one defined by stationary methods. Furthermore, we prove a support theorem for the radiation fields which general...
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Scattering poles for a convex obstacle in the Euclidean space have been extensively studied starting with the work of Watson ’18, with more recent results by Hargé–Lebeau ’94 , Sjöstrand–Zworski ’99 and Jin ’15. In contrast, practically nothing is known for the same problem in hyperbolic space. I will explain the difficulties involved in that and use them as a platform to present a modified ver...
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2015
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2015.8.513