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dc.contributor.authorIsakov, Victor, 1947-
dc.date.accessioned2016-01-13T20:12:13Z
dc.date.available2016-01-13T20:12:13Z
dc.date.issued2015
dc.identifier.citationVictor Isakov. 2015. Increasing stability for near field from the scattering amplitude. Spectral Theory and Partial Differential Equations. Book Series: Contemporary Mathematics, vol. 640:pp 59-70en_US
dc.identifier.isbn978-1-4704-0989-0
dc.identifier.issn0271-4132
dc.identifier.otherWOS:000363917500004
dc.identifier.urihttp://dx.doi.org/10.1090/conm/640
dc.identifier.urihttp://hdl.handle.net/10057/11707
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractWe obtain stability estimates for the near field of a radiating solution of the Helmholtz equation from the far field (scattering amplitude). This estimates contain the best possible Lipschitz term, a Holder term, and terms which decay as powers of the frequency k for large k under some a priori bounds. These estimates contain only explicit constants and show increasing stability of recovery of the near field from scattering amplitude with growing k. Proofs are elementary and are based on new explicit bounds for Hankel functions. We give first applications to increasing stability in (linearized) inverse scattering by obstacles.en_US
dc.language.isoen_USen_US
dc.publisherAmerican Mathematical Societyen_US
dc.relation.ispartofseriesSpectral Theory and Partial Differential Equations;v.640
dc.subjectInverse problemsen_US
dc.subjectHelmholtz equationen_US
dc.subjectScattering theoryen_US
dc.subjectWave scatteringen_US
dc.titleIncreasing stability for near field from the scattering amplitudeen_US
dc.typeBook chapteren_US
dc.rights.holder© Copyright 2015, American Mathematical Societyen_US


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