Growth rate of the Schrödinger group on Zhidkov spaces

DOI10.1016/j.crma.2005.12.024zbMath1094.35115OpenAlexW2083504637MaRDI QIDQ817914

Clément Gallo

Publication date: 20 March 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.12.024

zbMATH Keywords

Gross-Pitaevskii equationdark solitonslinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger and Feynman-Kac semigroups (47D08)

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Cites Work

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• Existence of nonstationary bubbles in higher dimensions.
• Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
• Schrödinger group on Zhidkov spaces
• Instability of Stationary Bubbles
• Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory