非线性扰动Schrodinger方程的低正则性问题

摘要

利用文[2]中的Fourier限制模方法和压缩映射原理，研究带有Kerr law非线性项的非线性扰动Schrodinger方程在低正则性空间sH s>-的局部适定性.1()4%We investigate local wellposedness for the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity in the low regularity space sHs>-by using Fourier restriction norm method and contracting mapping principle given in 1( ) 4 reference [2].