CONSIDER the following nonlinear Schrodinger equation: （SP）{iΔφ<sub>t</sub>+Δ<sup>2</sup>φ+β(|φ|<sup>2p</sup>φ)=0,x∈R<sup>2</sup>,t】0, （1,1） φ|<sub>i...CONSIDER the following nonlinear Schrodinger equation: （SP）{iΔφ<sub>t</sub>+Δ<sup>2</sup>φ+β(|φ|<sup>2p</sup>φ)=0,x∈R<sup>2</sup>,t】0, （1,1） φ|<sub>i=0</sub>=φ<sub>0</sub>（x）, （1,2）where p】0, β∈R are constants, φ<sub>0</sub>∈H<sup>3</sup> （R<sup>2</sup>）. For the problem arising from nonlinearplasma in nonhomogeneous media, see references [1,2].展开更多
文摘CONSIDER the following nonlinear Schrodinger equation: （SP）{iΔφ<sub>t</sub>+Δ<sup>2</sup>φ+β(|φ|<sup>2p</sup>φ)=0,x∈R<sup>2</sup>,t】0, （1,1） φ|<sub>i=0</sub>=φ<sub>0</sub>（x）, （1,2）where p】0, β∈R are constants, φ<sub>0</sub>∈H<sup>3</sup> （R<sup>2</sup>）. For the problem arising from nonlinearplasma in nonhomogeneous media, see references [1,2].
