Blow-up for the stochastic nonlinear Schrödinger equation with multiplicative noise
Blow-up for the stochastic nonlinear Schrödinger equation with multiplicative noise
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DOI：
10.1214/009117904000000964
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发表时间：
2005-05
影响因子：
2.3
通讯作者：
A. Bouard;A. Debussche
中科院分区：
文献类型：
--
作者：
A. Bouard;A. Debussche
研究了时间白而空间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。我们证明了任何足够规则和局部化的确定性初始数据都会产生一个解，该解在任意小的时间内以正概率爆破。
We study the influence of a multiplicative Gaussian noise, white in time and correlated in space, on the blow-up phenomenon in the supercritical nonlinear Schrodinger equation. We prove that any sufficiently regular and localized deterministic initial data gives rise to a solution which blows up in arbitrarily small time with a positive probability.