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 additio...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/318154 |
| Summary: | 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. |
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| ISSN: | 2314-4629 2314-4785 |