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Construction of solutions with exactly k blow-up points for nonlinear Schrödinger equation with a harmonic potential by Qian Liu; Yuqian Zhou is a Mathematics article available to read on EtoBox.
What is Construction of solutions with exactly k blow-up points for nonlinear Schrödinger equation with a harmonic potential about?
In this paper we consider the nonlinear Schro ̈dinger equation with a harmonic potential, which describes Bose-Einstein condensate. For arbitrarily given k points x 1 ; x 2 ; . . . ; x k in R n , we construct a solution which blows up exactly at x 1 ; x 2 ; . . . ; x k . Furthermore, the precise behavior of the solution is described both at those blow-up points and in R n n fx 1 ; x 2 ; . . . ; x k g:
Who reads Construction of solutions with exactly k blow-up points for nonlinear Schrödinger equation with a harmonic potential?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Qian Liu; Yuqian Zhou
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)