On the well-posedness for stochastic fourth-order Schrdinger equations

作     者：FANG Dao-yuan ZHANG Lin-zi ZHANG Ting 

作者机构：Department of Mathematics Zhejiang University Hangzhou 310027 China. 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2011年第26卷第3期

页      面：307-318页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 0802[工学-机械工程] 0835[工学-软件工程] 0701[理学-数学] 080201[工学-机械制造及其自动化] 

基　　金：Supported by NSFC (10871175,10931007,10901137) Zhejiang Provincial Natural Science Foundation of China (Z6100217) SRFDP (20090101120005) 

主　　题：Stochastic fourth-order Schrodinger equation well-posedness global existence 

摘      要：The influence of the random perturbations on the fourth-order nonlinear SchrSdinger equations, iut＋△^2u＋ε△u＋λ｜u｜^p-1u=ξ,（t,x）∈R^＋×R^n,n≥1,ε∈{-1,0,＋1}, is investigated in this paper. The local well-posedness in the energy space H^2（R^n） are proved for p 〉n＋4/n＋2,and p≤2^#-1 if n≥*** existence is also derived for either defocusing or focusing L^2-subcritical nonlinearities.