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Abel’s Inverse Problem and Inverse Scattering

In: The Legacy of Niels Henrik Abel

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  • V. P. Palamodov

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

Suggested Citation

  • V. P. Palamodov, 2004. "Abel’s Inverse Problem and Inverse Scattering," Springer Books, in: Olav Arnfinn Laudal & Ragni Piene (ed.), The Legacy of Niels Henrik Abel, pages 597-604, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18908-1_19
    DOI: 10.1007/978-3-642-18908-1_19
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