Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces

Olivier Goubet (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

We consider the so-called Gross-Pitaevskii equations supplemented with non-standard boundary conditions. We prove two mathematical results concerned with the initial value problem for these equations in Zhidkov spaces.

Mots clés: Nonlinear Schrodinger equations; non standard boundary conditions

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Goubet. Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces. 2006. ⟨hal-00085943⟩