An inhomogeneous boundary value problem for nonlinear Schrodinger equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:173

Article

Strauss, W ; Bu, C

关键词: nonlinear Schrodinger equation;    inhomogenous boundary value problem;    weak solution;    global existence;   

DOI  :  10.1006/jdeq.2000.3871

来源: Elsevier

【 摘 要 】

We consider a nonlinear Schrodinger equation in a domain Omega subset of R-n with the inhomegeneous Dirichlet boundary condition u = Q where Q is a given smooth function. The nonlinear term contributes a positive term to the energy. We prove the existence of global solutions of finite energy. (C) 2001 Academic Press.

【 授权许可】

Free