Decay for travelling waves in the Gross–Pitaevskii equation
Philippe Gravejat (2004)
Annales de l'I.H.P. Analyse non linéaire
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Philippe Gravejat (2004)
Annales de l'I.H.P. Analyse non linéaire
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Triebel, Hans
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Wei Wei (2014)
Czechoslovak Mathematical Journal
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We give a new representation of solutions to a class of time-dependent Schrödinger type equations via the short-time Fourier transform and the method of characteristics. Moreover, we also establish some novel estimates for oscillatory integrals which are associated with the fractional power of negative Laplacian with . Consequently the classical Hamiltonian corresponding to the previous Schrödinger type equations is studied. As applications, a series of new boundedness results for...
Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Cappiello, M. (2003)
Rendiconti del Seminario Matematico
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