作者研究了带调和势的临界非线性Schrodinger方程的爆破解.利用先验估计和插值估计,作者得到原点是径向对称爆破解的唯一爆破点,进一步,利用谱性质得到了方程爆破解的L^p模的下界估计.
This paper is concerned with the blow-up solutions of the critical nonlinear Schrodinger equation with a harmonic potential. Applying the prior estimate and interpolation estimate, it is obtained that the origin is the unique blow-up point. Moreover,using the spectral property,the lower bound of the Lp norm of blowup solution is obtained.