Article ID Journal Published Year Pages File Type
4635434 Applied Mathematics and Computation 2007 8 Pages PDF
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,…,xk in Rn, we construct a solution which blows up exactly at x1,x2,…,xk. Furthermore, the precise behavior of the solution is described both at those blow-up points and in Rnâ§¹{x1,x2,…,xk}.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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