Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrödinger systems

Details Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrödinger systems Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrödinger systems

2009-05-28

arxiv.org/abs/0905.4618v2

Mathematics

Analysis of PDEs

18 pages, 1 figure

Scientific paper

We study the spectral structure of the complex linearized operator for a
class of nonlinear Schr\"odinger systems, obtaining as byproduct some
interesting properties of non-degenerate ground state of the associated
elliptic system, such as being isolated and orbitally stable.

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