On the continuity dependence of elastic scattering amplitudes upon the shape of the scatterer

Gintides, D; Kiriaki, K

dc.contributor.author	Gintides, D	en
dc.contributor.author	Kiriaki, K	en
dc.date.accessioned	2014-03-01T01:08:58Z
dc.date.available	2014-03-01T01:08:58Z
dc.date.issued	1992	en
dc.identifier.issn	0266-5611	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10759
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	HARMONIC ACOUSTIC-WAVES	en
dc.subject.other	INVERSE	en
dc.title	On the continuity dependence of elastic scattering amplitudes upon the shape of the scatterer	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0266-5611/8/1/007	en
heal.identifier.secondary	007	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0266-5611/8/1/007	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	In this paper the transmission problem of linear elasticity in R2 is considered. We assume a system of quasi-Fredholm singular integral equations which describes the scattering process and we use an asymptotic analysis to derive relations for the far-field patterns. We establish a continuity dependence of the far-field patterns on the scatterer's shape. This result holds for a set of admissible functions which are considered as parametrization of the boundary of the inclusion. Continuity properties of this nature secure the stability of the inverse scattering problem.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Inverse Problems	en
dc.identifier.doi	10.1088/0266-5611/8/1/007	en
dc.identifier.isi	ISI:A1992HG67400007	en
dc.identifier.volume	8	en
dc.identifier.issue	1	en
dc.identifier.spage	95	en
dc.identifier.epage	118	en