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Inverse Problems: Theory and Applications
 
Edited by: Giovanni Alessandrini Universitá de Trieste, Trieste, Italy
Gunther Uhlmann University of Washington, Seattle, WA
Front Cover for Inverse Problems: Theory and Applications
Available Formats:
Softcover ISBN: 978-0-8218-3367-4
Product Code: CONM/333
List Price: $74.00
MAA Member Price: $66.60
AMS Member Price: $59.20
Electronic ISBN: 978-0-8218-7923-8
Product Code: CONM/333.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $111.00
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AMS Member Price: $88.80
Front Cover for Inverse Problems: Theory and Applications
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  • Front Cover for Inverse Problems: Theory and Applications
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Inverse Problems: Theory and Applications
Edited by: Giovanni Alessandrini Universitá de Trieste, Trieste, Italy
Gunther Uhlmann University of Washington, Seattle, WA
Available Formats:
Softcover ISBN:  978-0-8218-3367-4
Product Code:  CONM/333
List Price: $74.00
MAA Member Price: $66.60
AMS Member Price: $59.20
Electronic ISBN:  978-0-8218-7923-8
Product Code:  CONM/333.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $111.00
MAA Member Price: $99.90
AMS Member Price: $88.80
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3332003; 215 pp
    MSC: Primary 35; 15; 81; 86; 58;

    This volume presents the proceedings of a workshop on Inverse Problems and Applications and a special session on Inverse Boundary Problems and Applications.

    Inverse problems arise in practical situations, such as medical imaging, exploration geophysics, and non-destructive evaluation where measurements made in the exterior of a body are used to deduce properties of the hidden interior. A large class of inverse problems arise from a physical situation modeled by partial differential equations. The inverse problem is to determine some coefficients of the equation given some information about solutions. Analysis of such problems is a fertile area for interaction between pure and applied mathematics. This interplay is well represented in this volume where several theoretical and applied aspects of inverse problems are considered.

    The book includes articles on a broad range of inverse problems including the inverse conductivity problem, inverse problems for Maxwell's equations, time reversal mirrors, ultrasound using elastic pressure waves, inverse problems arising in the environment, inverse scattering for the three-body problem, and optical tomography. Also included are several articles on unique continuation and on the study of propagation of singularities for hyperbolic equations in anisotropic media.

    This volume is suitable for graduate students and research mathematicians interested in inverse problems and applications.

    Readership

    Graduate students and research mathematicians interested in inverse problems and applications.

  • Table of Contents
     
     
    • Articles
    • Giovanni Alessandrini, Antonino Morassi and Edi Rosset - Size estimates [ MR 2032004 ]
    • V. Bacchelli, C. D. Pagani and F. Saleri - Uniqueness in the inverse conductivity problem for thin imperfections weakly or strongly conducting [ MR 2032005 ]
    • Elena Beretta and Elisa Francini - Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities [ MR 2032006 ]
    • Liliana Borcea, George Papanicolaou and Chrysoula Tsogka - A resolution study for imaging and time reversal in random media [ MR 2032007 ]
    • Luis Escauriaza and Sergio Vessella - Optimal three cylinder inequalities for solutions to parabolic equations with Lipschitz leading coefficients [ MR 2032008 ]
    • Mauro Giudici - Some problems for the application of inverse techniques to environmental modeling [ MR 2032009 ]
    • Victor Isakov, Gen Nakamura and Jenn-Nan Wang - Uniqueness and stability in the Cauchy problem for the elasticity system with residual stress [ MR 2032010 ]
    • Lin Ji and Joyce McLaughlin - Using a Hankel function expansion to identify stiffness for the boundary impulse input experiment [ MR 2032011 ]
    • Carlos E. Kenig, Gustavo Ponce and Luis Vega - On the uniqueness of solutions of higher order nonlinear dispersive equations [ MR 2032012 ]
    • Yaroslav V. Kurylev, Matti Lassas and Erkki Somersalo - Reconstruction of a manifold from electromagnetic boundary measurements [ MR 2032013 ]
    • Alfredo Lorenzi and Eva Paparoni - Direct and inverse problems for second-order integro-differential operator equations in an unbounded time interval [ MR 2032014 ]
    • Clifford J. Nolan and Gunther Uhlmann - Geometrical optics for generic anisotropic materials [ MR 2032015 ]
    • M. Piana and M. Bertero - Linear approaches in microwave tomography [ MR 2032016 ]
    • Alexandru Tamasan - Optical tomography in weakly anisotropic scattering media [ MR 2032017 ]
    • Gunther Uhlmann and András Vasy - Inverse problems in three-body scattering [ MR 2032018 ]
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Volume: 3332003; 215 pp
MSC: Primary 35; 15; 81; 86; 58;

This volume presents the proceedings of a workshop on Inverse Problems and Applications and a special session on Inverse Boundary Problems and Applications.

Inverse problems arise in practical situations, such as medical imaging, exploration geophysics, and non-destructive evaluation where measurements made in the exterior of a body are used to deduce properties of the hidden interior. A large class of inverse problems arise from a physical situation modeled by partial differential equations. The inverse problem is to determine some coefficients of the equation given some information about solutions. Analysis of such problems is a fertile area for interaction between pure and applied mathematics. This interplay is well represented in this volume where several theoretical and applied aspects of inverse problems are considered.

The book includes articles on a broad range of inverse problems including the inverse conductivity problem, inverse problems for Maxwell's equations, time reversal mirrors, ultrasound using elastic pressure waves, inverse problems arising in the environment, inverse scattering for the three-body problem, and optical tomography. Also included are several articles on unique continuation and on the study of propagation of singularities for hyperbolic equations in anisotropic media.

This volume is suitable for graduate students and research mathematicians interested in inverse problems and applications.

Readership

Graduate students and research mathematicians interested in inverse problems and applications.

  • Articles
  • Giovanni Alessandrini, Antonino Morassi and Edi Rosset - Size estimates [ MR 2032004 ]
  • V. Bacchelli, C. D. Pagani and F. Saleri - Uniqueness in the inverse conductivity problem for thin imperfections weakly or strongly conducting [ MR 2032005 ]
  • Elena Beretta and Elisa Francini - Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities [ MR 2032006 ]
  • Liliana Borcea, George Papanicolaou and Chrysoula Tsogka - A resolution study for imaging and time reversal in random media [ MR 2032007 ]
  • Luis Escauriaza and Sergio Vessella - Optimal three cylinder inequalities for solutions to parabolic equations with Lipschitz leading coefficients [ MR 2032008 ]
  • Mauro Giudici - Some problems for the application of inverse techniques to environmental modeling [ MR 2032009 ]
  • Victor Isakov, Gen Nakamura and Jenn-Nan Wang - Uniqueness and stability in the Cauchy problem for the elasticity system with residual stress [ MR 2032010 ]
  • Lin Ji and Joyce McLaughlin - Using a Hankel function expansion to identify stiffness for the boundary impulse input experiment [ MR 2032011 ]
  • Carlos E. Kenig, Gustavo Ponce and Luis Vega - On the uniqueness of solutions of higher order nonlinear dispersive equations [ MR 2032012 ]
  • Yaroslav V. Kurylev, Matti Lassas and Erkki Somersalo - Reconstruction of a manifold from electromagnetic boundary measurements [ MR 2032013 ]
  • Alfredo Lorenzi and Eva Paparoni - Direct and inverse problems for second-order integro-differential operator equations in an unbounded time interval [ MR 2032014 ]
  • Clifford J. Nolan and Gunther Uhlmann - Geometrical optics for generic anisotropic materials [ MR 2032015 ]
  • M. Piana and M. Bertero - Linear approaches in microwave tomography [ MR 2032016 ]
  • Alexandru Tamasan - Optical tomography in weakly anisotropic scattering media [ MR 2032017 ]
  • Gunther Uhlmann and András Vasy - Inverse problems in three-body scattering [ MR 2032018 ]
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