Inhomogeneous critical nonlinear Schroedinger equations with a harmonic potential

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3371246· OSTI ID:21335947

Daomin, Cao; Pigong, Han ^[1]

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1. 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, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
CAUCHY PROBLEM
CRITICAL MASS
HARMONIC POTENTIAL
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION