Abel’s Inverse Problem and Inverse Scattering

V. P. Palamodov

A chapter in The Legacy of Niels Henrik Abel, 2004, pp 597-604 from Springer

Abstract: Abstract The problem of determination of the shape of a hill from travel time was solved by N. H. Abel in his third paper written in 1823. He gave more complete arguments in a paper of 1826. The problem is to find the form of the hill y = h (x), 0 ≤ x ≤ X0 from knowledge of the function t = t (x), 0

Keywords: Coherent State; Helmholtz Equation; Inverse Scattering; Geodesic Curve; Diffraction Tomography (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18908-1_19

Ordering information: This item can be ordered from
http://www.springer.com/9783642189081

DOI: 10.1007/978-3-642-18908-1_19

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().