摘要
研究了非线性分数阶Schr?dinger方程解的爆破估计,利用分数阶Leibniz法则和Gagliardo-Nirenberg不等式,获得了爆破解的下界估计,所得结果是对文献[5]中爆破理论的补充.
A blow-up estimate was investigated for nonlinear fractional Schr?dinger equation,and the lower bounds estimate for the blow-up solutions obtained by means of the fractional Leibniz formula and Gagliardo-Nirenberg inequality.The result gave a complement for the blow-up theory of reference[5].
作者
彭聪明
赵敦
Peng Cong-ming;Zhao Dun(School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741000,Gansu,China;School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China)
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第2期241-243,249,共4页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(11475073,11325417)
