Inverse Scattering for a Small Nonselfadjoint Perturbation of the Wave Equation
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).
KeywordsWave Equation Reconstruction Procedure Scattering Amplitude Inverse Scattering Selfadjoint Operator
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