A note on an inverse scattering problem for the Helmholtz equation on the line

Details A note on an inverse scattering problem for the Helmholtz equation on the line A note on an inverse scattering problem for the Helmholtz equation on the line

2005-11-16

arxiv.org/abs/math/0511401v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We consider the uniqueness in the inverse scattering problem for the equation
$$ u'' + \frac{k^2}{c^2}=0, $$ on $\R$, where $c$ is a real measurable function
with $c(x)\ge c_m> 0$, $|c(x)-1|\le C< x>^{-1-\delta}$ and $c'\in L^2(\R) \cap
L^1(\R)$.

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