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On increasing stability for attenuation and conductivity coefficients from all boundary measurements Isakov, Victor
Description
By using real and complex geometrical optics solutions and a reduction to a vectorial Schroedinger equation we derive stability estimates for mentioned coefficients where logarithmic (unstable) part goes to zero as the energy/wave number grows. Optimizing with respect to the wave number we conclude that Hoelder type stability instead of logarithmic one can be achieved which promises a substantial increase in (numerical) resolution. We discuss possible further developments.
Item Metadata
Title |
On increasing stability for attenuation and conductivity coefficients from all boundary measurements
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-05-31T11:11
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Description |
By using real and complex geometrical optics solutions and a reduction to a vectorial Schroedinger equation we derive stability estimates for mentioned coefficients where logarithmic (unstable) part goes to zero as the energy/wave number grows. Optimizing with respect to the wave number we conclude that Hoelder type stability instead of logarithmic one can be achieved which promises a substantial increase in (numerical) resolution. We discuss possible further developments.
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Extent |
38 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Wichita State University
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Series | |
Date Available |
2017-01-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0340011
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International