The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential

DOI10.1137/040614554zbMath1094.35114OpenAlexW2065365545WikidataQ62568249 ScholiaQ62568249MaRDI QIDQ5470552

Florian Méhats, Naoufel Ben Abdallah, Christian Schmeiser, Rada-Maria Weishaeupl

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f49c5cb6da2d8e3e899f7196868e27b456c964a5

zbMATH Keywords

energy estimatesGross-Pitaevskii equationBose-Einstein condensateStrichartz estimatesanisotropic Sobolev embedding

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50)

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