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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N. Dilna, A. Rontó (2008)
Mathematica Bohemica
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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.