Published February 2013
| Version v1
Journal article
Increasing stability in an inverse problem for the acoustic equation
- 1. Department of Mathematical Science, Graduate School of Material Science, University of Hyogo, 2167 Shosha, Himeji, Hyogo 671-2280 (Japan)
- 2. Department of Mathematics, University of Washington, Box 354305, Seattle, WA 98195-4350 (United States)
- 3. Department of Mathematics, NCTS (Taipei), National Taiwan University, Taipei 106, Taiwan (China)
Description
In this work, we study the inverse boundary value problem of determining the refractive index in the acoustic equation. It is known that this inverse problem is ill-posed. Nonetheless, we show that the ill-posedness decreases when we increase the frequency and the stability estimate changes from logarithmic type for low frequencies to a Lipschitz estimate for large frequencies. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/0266-5611/29/2/025012Additional details
Identifiers
Publishing Information
- Journal Title
- Inverse Problems
- Journal Volume
- 29
- Journal Issue
- 2
- Journal Page Range
- [11 p.]
- ISSN
- 0266-5611
- CODEN
- INVPET
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45035521
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACOUSTICS; BOUNDARY-VALUE PROBLEMS; INVERSE SCATTERING PROBLEM; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; REFRACTIVE INDEX; STABILITY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; OPTICAL PROPERTIES; PHYSICAL PROPERTIES