TY - JOUR
T1 - Well-posedness, Decay Estimates and Blow-up Theorem for the Forced NLS
JO - Journal of Partial Differential Equations
VL - 1
SP - 61
EP - 70
PY - 2001
DA - 2001/02
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5469.html
KW - Nonlinear Schrödinger equation
KW - well-posedness
KW - decay estimates
KW - blow-up
AB -  In this article we prove that the following NLS iu_t = u_{zz}-g|u|^{P-1}u,g > O, x, t > 0 with either Dirichlet or Robin boundary condition at x = 0 is well-posed. L^{p + 1} decay estimates, blow-up theorem and numerical results are also given.