摘要
研究一类带有弱阻尼的非线性Schrdinger方程组的初值问题,通过在Sobolev空间中定义能量空间,运用能量方法,建立质量、能量守恒律,利用能量函数,得到在满足一定初始条件下,该方程组的解在有限时间内爆破的性质.
The initial value problems of a class of nonlinear Schrodinger equations with low damping are studied in this article. By defining energy space in Sobolev space, using energy method, build quality and energy conservation law and employing energy function, the solution to the equations will blow up in finite time with certain initial conditions.
出处
《扬州职业大学学报》
2010年第2期25-29,34,共6页
Journal of Yangzhou Polytechnic College
