带乘性噪声的随机非线性薛定谔方程的爆破
概率论
2007-05-23 v1
摘要
我们研究在时间上白、在空间上相关的乘性高斯噪声对超临界非线性薛定谔方程爆破现象的影响。我们证明任意充分正则且局部化的确定性初值数据都会以正概率在任意小时间内产生爆破解。
引用
@article{arxiv.math/0506595,
title = {Blow-up for the stochastic nonlinear Schrodinger equation with multiplicative noise},
author = {Anne de Bouard and Arnaud Debussche},
journal= {arXiv preprint arXiv:math/0506595},
year = {2007}
}
备注
Published at http://dx.doi.org/10.1214/009117904000000964 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)