基本解释：斯塔克开关法
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The Instability of Solutions for Nolinear Schrdinger Equation with Stark Potential;带斯塔克势的非线性Schrdinger方程解的不稳定性
For the nonlinear Schrdinger equation with Stark potentialiu_t=-1 2△u+V(x)u-k|u|~(4 n)u,t≥0,x∈R~n,u(0,x)=φ(x), we get the estimate of the upper bound and lower bound of the blow-up rate.研究带斯塔克势的非线性Schrdinger方程iut=-12△u+V(x)u-k|u|4nu,t≥0,x∈Rn,u(0,x)=φ(x)爆破解的爆破速率,得到爆破速率的上、下界估计。
We study the qualitative property of critical nonlinear Schrdinger equation with Stark potential,using a transformation of variables,we establish the relation between the nonlinear Schrdinger equations with and without Stark potential.讨论了带斯塔克势的非线性Schrd inger方程爆破解的定性性质,运用一个变量替换建立了带斯塔克势的非线性Schrd inger方程与不带势的经典非线性Schrd inger方程之间的联系。
