一类二阶导数非线性Schrodinger方程的初边值问题

INITIAL-BOUNDARY VALUE PROBLEM FOR SECOND ORDER DERIVATIVE NONLINEAR SCHRODINGER EQUATIONS

本文研究一类二阶导数非线性schrdinger方程的初边值问题.在空间区域为星形域和引入的初值能量分别大于或等于零及小于零情况下,得到初边值问题之解在有限时间内爆破.

This paper studies the inital boundary value problem for a class of second order derivative nonlinearSchr(?)dinger equations.When the space domain is starshaped and the initial energy≥0 or<0,it is shown that thesolutions of the problems blow up in finite time.