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Inversion-like integral equations

  • Part I: Fifteen Review Lectures on Applied Inverse Problems
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Applied Inverse Problems

Part of the book series: Lecture Notes in Physics ((LNP,volume 85))

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Abstract

We present the recent results obtained on the construction and the application of the Inversion-like Integral Equations (I.E) associated with linear differential or partial differential systems. In this purely algebraic method we construct a class of solutions and of potentials associated to linear differential systems without performing the analytical study of the associated scattering problem. In this approach the determination of the I.E. is always reduced to the resolution of a well defined set of non linear partial differential equation (n.Q,.p.d.e).

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References

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Pierre C. Sabatier

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© 1978 Springer-Verlag

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Cornille, H. (1978). Inversion-like integral equations. In: Sabatier, P.C. (eds) Applied Inverse Problems. Lecture Notes in Physics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09094-0_81

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  • DOI: https://doi.org/10.1007/3-540-09094-0_81

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09094-6

  • Online ISBN: 978-3-540-35594-6

  • eBook Packages: Springer Book Archive

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