一类拟线性Schrdinger方程解的爆破  

Blow-up for a Class of Quasilinear Schrdinger Equations

作　　者：陈渝芝[1] 张晓强[1] 

机构地区：[1]重庆理工大学数学与统计学院,重庆400050

出　　处：《重庆理工大学学报（自然科学）》2013年第7期128-130,共3页Journal of Chongqing University of Technology：Natural Science

摘　　要：研究二维空间中一类拟线性Schrdinger方程的柯西问题。利用能量守恒、质量守恒及Viral恒等式,得到所研究柯西问题的解在有限时间内的爆破。This paper deals with the Cauchy problem for a class of quasilinear SchriJdinger equations in two space dimensions. By utilizing the conservations of energy and mass as well as a viral identity, we obtain that the solution to the Cauchy problem under study blows up in finite time.

关 键 词：拟线性Schrodinger方程 Vrial等式 爆破 

分 类 号：O175.27[理学—数学]