Mathematics – Analysis of PDEs
Scientific paper
2008-04-04
Indiana University Mathematics Journal 57, 6 (2008) 2611-2642
Mathematics
Analysis of PDEs
Final version published in Indiana University Mathematics Journal
Scientific paper
10.1512/iumj.2008.57.3632
We establish the orbital stability of the black soliton, or kink solution,
$\v_0(x) = \th \big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional
Gross-Pitaevskii equation, with respect to perturbations in the energy space.
Bethuel Fabrice
Gravejat Philippe
Saut Jean-Claude
Smets Didier
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