Inhomogeneous critical nonlinear Schroedinger equations with a harmonic potential
Journal Article
·
· Journal of Mathematical Physics
- Academy of Mathematics and Systems Science and Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences, Beijing 100190 (China)
In this paper, we study the Cauchy problem of the inhomogeneous nonlinear Schroedinger equation with a harmonic potential: i{partial_derivative}{sub t}u=-div(f(x){nabla}u)+|x|{sup 2}u-k(x)|u|{sup 4/N}u, x is an element of R{sup N}, N{>=}1, which models the remarkable Bose-Einstein condensation. We discuss the existence and nonexistence results and investigate the limiting profile of blow-up solutions with critical mass.
- OSTI ID:
- 21335947
- Journal Information:
- Journal of Mathematical Physics, Vol. 51, Issue 4; Other Information: DOI: 10.1063/1.3371246; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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