一类四阶非线性Schrdinger方程解的整体适定性

Global Well-Posedness of a Class of Fourth Order Nonlinear Schrdinger Equations

研究一类四阶非线性Schrdinger方程解的整体适定性.采用Brezis-Galouet型不等式和巧妙的估计技巧,借助Galerkin方法得到解的整体存在唯一性.

In this paper,the authors discuss the global wellposedness of a class of fourth order nonlinear Schrdinger equations.One of the novel aspects of this work is the combination of the application of a new interpolationembededing inequality which now is known as BG inequality and Galerkin methods.