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

Author

Isaev, M. I.

Source

Journal of Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-01-17

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Isaev, M. I.. 2013. Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-463074

Modern Language Association (MLA)

Isaev, M. I.. Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions. Journal of Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-463074

American Medical Association (AMA)

Isaev, M. I.. Energy- and Regularity-Dependent Stability Estimates for Near-Field Inverse Scattering in Multidimensions. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-463074

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463074