A Qualitative Approach to Inverse Scattering Theory

• Κύριοι συγγραφείς: Cakoni, Fioralba (Συγγραφέας), Colton, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US : Imprint: Springer, 2014.
• Σειρά: Applied Mathematical Sciences, 188
• Θέματα: Mathematics.; Fourier analysis.; Partial differential equations.; Physics.; Electrical engineering.; Partial Differential Equations.; Electrical Engineering.; Theoretical, Mathematical and Computational Physics.; Fourier Analysis.

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...

Πίνακας περιεχομένων:

• 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.