Mathematics – Analysis of PDEs
Scientific paper
2010-03-17
Mathematics
Analysis of PDEs
5 pages, no figure
Scientific paper
In this paper, we investigate the decay property of scattering solutions to
the initial value problem for the free Schr\"{o}dinger equation in
$\mathbb{R}$. It becomes clear that the rate of time decay is essentially
determined by the behavior of the Fourier transform of initial data near the
origin. The proof is described by basic calculus.
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