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Inverse Scattering for a Small Nonselfadjoint Perturbation of the Wave Equation

  • Kiyoshi Mochizuki
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 10)

Abstract

In this paper we consider the wave equation □u + b(x)u t = 0 in R n , n ≥ 3, with b(x) which is small and decays exponentially as |x| → ∞. We show that the scattering operator exists for each given b(x) and inversely the scattering amplitude at fixed nonzero energy determines the coefficient b(x).

Keywords

Wave Equation Reconstruction Procedure Scattering Amplitude Inverse Scattering Selfadjoint Operator 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Kiyoshi Mochizuki
    • 1
  1. 1.Department of MathematicTokyo Metropolitan UniversityHachioji, TokyoJapan

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