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

作者：Segata Jun Ichi^*

来源：Asymptotic Analysis, 2011, 75(1-2): 25-36.

DOI：10.3233/ASY-2011-1051

• fourth-order Schrodinger type equation
• asymptotic behavior

We give an asymptotic formula in time of solutions to the linear fourth-order Schrodinger 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 Schrodinger type equation with the cubic non-linearity.

• 出版日期2011