Singular solutions of the subcritical nonlinear Schrödinger equation

Abstract

where x = (x1, . . . , xd) ∈ Rd and ∆ = ∑d j=1 ∂xjxj is the Laplacian, has been the subject of intensive study, due to its role in various areas of physics, such as nonlinear optics and Bose–Einstein condensates (BEC). The NLS is called subcritical, critical, and supercritical if σd < 2, σd = 2, and σd > 2, respectively. It is well-known that in the… (More)

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Cite this paper

@inproceedings{Fibich2011SingularSO, title={Singular solutions of the subcritical nonlinear Schrödinger equation}, author={Gadi Fibich}, year={2011} }