Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions

Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions

We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d≥3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition,...

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Veröffentlicht in:Journal of Mathematics, Hindawi Publishing Corp Hindawi Publishing Corp, 2013-01, Vol.2013 (2013), p.1-10
1. Verfasser: Isaev, M. I.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Coefficients
Dimensional stability
Estimates
Inverse problems
Inverse scattering
Mathematical analysis
Mathematics
Norms
Stability
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Zusammenfassung:We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d≥3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition, a global logarithmic stability estimate for this inverse problem in dimension d=2 is also given.
ISSN:2314-4629
2314-4785
DOI:10.1155/2013/318154