关于非线性Davey-Stewartson方程的散射理论

Energy Scattering for Nonlinear Davey-Stewartson Equations

中文关键词:  非线性Davey-Stewartson方程  Morawetz型估计  散射算子

英文关键词:nonlinear Davey-Stewartson equations  Morawetz-type estimate and scattering operator.

中文摘要:

      本文讨论具有三个非线性项的Davey-Stewartson方程的散射算子在整个能量空间H~1中存在。

英文摘要:

      In this paper, the author studies the scattering theory for a class of nonlinear Dav-ey-Stewartson equations with three nonlinearities. The author proves that their scattering operator exists in the energy space H¹.