A Qualitative Approach to Inverse Scattering Theory

Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scatte...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Cakoni, Fioralba (Author), Colton, David (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer US : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Applied Mathematical Sciences, 188
Subjects:
Differential equations.
Electrical engineering.
Mathematical physics.
Fourier analysis.
Differential Equations.
Electrical and Electronic Engineering.
Theoretical, Mathematical and Computational Physics.
Fourier Analysis.
Online Access:Texto Completo
Table of Contents:
  • 1. Functional Analysis and Sobolev Spaces
  • 2. Ill-Posed Problems
  • 3. Scattering by Imperfect Conductors
  • 4. Inverse Scattering Problems for Imperfect Conductors
  • 5. Scattering by Orthotropic Media
  • 6. Inverse Scattering Problems for Orthotropic Media
  • 7. Factorization Methods
  • 8. Mixed Boundary Value Problems
  • 9. Inverse Spectral Problems for Transmission Eigenvalues
  • 10. A Glimpse at Maxwell's Equations.

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