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A remark on asymptotics of solutions to Schrödinger equation with fourth-order dispersion

Article type: Research Article

Authors: Segata, Jun-Ichi

Affiliations: Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan. E-mail: [email protected]

Abstract: We give an asymptotic formula in time of solutions to the linear fourth-order Schrödinger type equation in one space dimension without the mean zero condition on the initial data. Then we apply this formula to study the long time behavior of solution to the fourth-order Schrödinger type equation with the cubic non-linearity.

Keywords: fourth-order Schrödinger type equation, asymptotic behavior

DOI: 10.3233/ASY-2011-1051

Journal: Asymptotic Analysis, vol. 75, no. 1-2, pp. 25-36, 2011

Published: 2011
Price: EUR 27.50
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