DAN Yuya
   Department   Matsuyama University  Department of Business Administration, Faculty of Business Administration
   Position   Professor
Language English
Publication Date 2011/04
Type
Peer Review With peer review
Title Decay of scattering solutions to one-dimensional free Schrödinger equation
Contribution Type
Journal Journal of Mathematical Sciences: Advances and Applications
Publisher Scientific Advances Publishers
Volume, Issue, Pages 8(2),pp.53-59
Details In this paper, we investigate the decay property of scattering solutions to the initial value problem for the free Schrödinger equation in R. It becomes clear that the rate of time decay is essentially determined by the behaviour of the Fourier transform of initial data near the origin. The proof is described by basic calculus.
ISBN ISSN 0974-5750