Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635434 | Applied Mathematics and Computation | 2007 | 8 Pages |
Abstract
In this paper we consider the nonlinear Schrödinger equation with a harmonic potential, which describes Bose-Einstein condensate. For arbitrarily given k points x1,x2,â¦,xk in Rn, we construct a solution which blows up exactly at x1,x2,â¦,xk. Furthermore, the precise behavior of the solution is described both at those blow-up points and in Rnâ§¹{x1,x2,â¦,xk}.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qian Liu, Yuqian Zhou,