The Resource Applications of elliptic Carleman inequalities to Cauchy and inverse problems, Mourad Choulli, (electronic book)
Applications of elliptic Carleman inequalities to Cauchy and inverse problems, Mourad Choulli, (electronic book)
Resource Information
The item Applications of elliptic Carleman inequalities to Cauchy and inverse problems, Mourad Choulli, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Applications of elliptic Carleman inequalities to Cauchy and inverse problems, Mourad Choulli, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- Summary
- This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems. Based on elementary Carleman inequalities, it establishes three-ball inequalities, which are the key to deriving logarithmic stability estimates for elliptic Cauchy problems and are also useful in proving stability estimates for certain elliptic inverse problems. The book presents three inverse problems, the first of which consists in determining the surface impedance of an obstacle from the far field pattern. The second problem investigates the detection of corrosion by electric measurement, while the third concerns the determination of an attenuation coefficient from internal data, which is motivated by a problem encountered in biomedical imaging
- Language
- eng
- Extent
- 1 online resource (ix, 81 pages).
- Contents
-
- 1 Preliminaries
- 2 Uniqueness of continuation and Cauchy problems
- 3 Determining the surface impedance of an obstacle from the scattering amplitude
- 4 Determining a corrosion coecient from a boundary measurement and an attenuation coecient from an internal measurement
- Isbn
- 9783319336411
- Label
- Applications of elliptic Carleman inequalities to Cauchy and inverse problems
- Title
- Applications of elliptic Carleman inequalities to Cauchy and inverse problems
- Statement of responsibility
- Mourad Choulli
- Language
- eng
- Summary
- This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems. Based on elementary Carleman inequalities, it establishes three-ball inequalities, which are the key to deriving logarithmic stability estimates for elliptic Cauchy problems and are also useful in proving stability estimates for certain elliptic inverse problems. The book presents three inverse problems, the first of which consists in determining the surface impedance of an obstacle from the far field pattern. The second problem investigates the detection of corrosion by electric measurement, while the third concerns the determination of an attenuation coefficient from internal data, which is motivated by a problem encountered in biomedical imaging
- Cataloging source
- N$T
- http://library.link/vocab/creatorName
- Choulli, Mourad
- Dewey number
- 515/.26
- Index
- index present
- LC call number
- QA295
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
-
- SpringerBriefs in mathematics,
- BCAM SpringerBriefs
- http://library.link/vocab/subjectName
-
- Inequalities (Mathematics)
- Inverse problems (Differential equations)
- Label
- Applications of elliptic Carleman inequalities to Cauchy and inverse problems, Mourad Choulli, (electronic book)
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1 Preliminaries -- 2 Uniqueness of continuation and Cauchy problems -- 3 Determining the surface impedance of an obstacle from the scattering amplitude -- 4 Determining a corrosion coecient from a boundary measurement and an attenuation coecient from an internal measurement
- Control code
- SPR951434404
- Dimensions
- unknown
- Extent
- 1 online resource (ix, 81 pages).
- File format
- unknown
- Form of item
- online
- Isbn
- 9783319336411
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-319-33642-8
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- Label
- Applications of elliptic Carleman inequalities to Cauchy and inverse problems, Mourad Choulli, (electronic book)
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1 Preliminaries -- 2 Uniqueness of continuation and Cauchy problems -- 3 Determining the surface impedance of an obstacle from the scattering amplitude -- 4 Determining a corrosion coecient from a boundary measurement and an attenuation coecient from an internal measurement
- Control code
- SPR951434404
- Dimensions
- unknown
- Extent
- 1 online resource (ix, 81 pages).
- File format
- unknown
- Form of item
- online
- Isbn
- 9783319336411
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-319-33642-8
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Applications-of-elliptic-Carleman-inequalities-to/MkhhcG6_ep8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Applications-of-elliptic-Carleman-inequalities-to/MkhhcG6_ep8/">Applications of elliptic Carleman inequalities to Cauchy and inverse problems, Mourad Choulli, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
