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The Resource Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli, (electronic resource)
Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli, (electronic resource)
Resource Information
The item Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 threeball 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
 IX, 81 p.
 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
 9783319336428
 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
 by Mourad Choulli
 Subject

 Cancer Research
 Physics
 Cancer research
 Partial differential equations
 Partial differential equations
 Cancer Research
 Cancer research
 Appl.Mathematics/Computational Methods of Engineering
 Engineering mathematics
 Applications of Mathematics
 Electronic resources
 Physics
 Engineering mathematics
 Mathematics
 Physics
 Mathematics
 Mathematical Methods in Physics
 Partial Differential Equations
 Partial Differential Equations
 Applied mathematics
 Applied mathematics
 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 threeball 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
 http://library.link/vocab/creatorName
 Choulli, Mourad
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 SpringerBriefs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Cancer research
 Partial differential equations
 Applied mathematics
 Engineering mathematics
 Physics
 Mathematics
 Partial Differential Equations
 Mathematical Methods in Physics
 Cancer Research
 Applications of Mathematics
 Appl.Mathematics/Computational Methods of Engineering
 Label
 Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 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
 Dimensions
 unknown
 Extent
 IX, 81 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319336428
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319336428
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319336428
 Label
 Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 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
 Dimensions
 unknown
 Extent
 IX, 81 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319336428
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319336428
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319336428
Subject
 Appl.Mathematics/Computational Methods of Engineering
 Applications of Mathematics
 Applied mathematics
 Applied mathematics
 Cancer Research
 Cancer Research
 Cancer research
 Cancer research
 Electronic resources
 Engineering mathematics
 Engineering mathematics
 Mathematical Methods in Physics
 Mathematics
 Mathematics
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
 Physics
 Physics
 Physics
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/ApplicationsofEllipticCarlemanInequalitiesto/cV4s3KdCJ8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/ApplicationsofEllipticCarlemanInequalitiesto/cV4s3KdCJ8/">Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems, by Mourad Choulli, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>