Eswarathasan, Suresh 2012. Microlocal analysis of scattering data for nested conormal potentials. Journal of Functional Analysis 262 (5) , pp. 2100-2141. 10.1016/j.jfa.2011.12.013 |
Official URL: http://doi.org/10.1016/j.jfa.2011.12.013
Abstract
Working in the time domain, we show that the location of the singularities and the principal symbol of a potential that is conormal to nested submanifolds S2⊂S1⊂Rn, for n⩾3, can be recovered from the backscattering as well as from the restriction of the far-field pattern to more general determined sets of scattering data. This extends the work of Greenleaf and Uhlmann where the potentials considered are conormal to a single submanifold S⊂Rn. We utilize the microlocal analysis of the wave operator and multiplication by a nested conormal distribution in order to study their action on spaces of conormal-like distributions.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | Elsevier |
ISSN: | 0022-1236 |
Date of Acceptance: | 12 December 2011 |
Last Modified: | 01 Feb 2020 03:19 |
URI: | https://orca.cardiff.ac.uk/id/eprint/95085 |
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