NEW STABILITY RESULTS FOR SOFT OBSTACLES IN INVERSE SCATTERING

Authors
ISAKOV V
Citation
V. Isakov, NEW STABILITY RESULTS FOR SOFT OBSTACLES IN INVERSE SCATTERING, Inverse problems, 9(5), 1993, pp. 535-543
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
9
Issue
5
Year of publication
1993
Pages
535 - 543
Database
ISI
SICI code
0266-5611(1993)9:5<535:NSRFSO>2.0.ZU;2-U
Abstract
We study stability of recovery of an obstacle D from its scattering am plitude corresponding to the Helmholtz equation DELTAu + k2u = 0 in th e three-dimensional space outside D. We assume u is zero on the bounda ry of D (soft obstacle). We consider smooth star-shaped and analytic D and obtain double logarithmic type and logarithmic type estimates.