一类非线性薛定谔方程解的衰减估计

Decay estimates of solutions to a class of nonlinear Schrodinger equations

研究了一类具有次临界非线性项的薛定谔方程的大初值问题.在强耗散条件下,分析了非线性薛定谔方程i■tv+1/2■x2v=λ|v|p-1v+ia/((1+t)(p-1))v整体解的L2衰减估计,所得结果完善了文献[4]的结论.

We consider the large initial problem for a class of nonlinear Schrodinger equations with subcritical nonlinearities.Under a strong dissipative condition,L2 decay estimates of global solutions to the nonlinear Schrodinger equation i■tv+1/2■x2 v=λ|v|p-1v+i(a/((1+t)(p-1)))v are shown.The research result supplement the results of the literature [4].