On Picard-Fuchs type equations related to integrable Hamiltonian systems.
Prykarpatsky, Anatoliy K., Taneri, Ufuk, Samoylenko, Valeriy (2001)
Applied Mathematics E-Notes [electronic only]
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Prykarpatsky, Anatoliy K., Taneri, Ufuk, Samoylenko, Valeriy (2001)
Applied Mathematics E-Notes [electronic only]
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Zhang, Dongfeng, Cheng, Rong (2010)
Fixed Point Theory and Applications [electronic only]
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G. Wolansky (2009)
Annales de l'I.H.P. Analyse non linéaire
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Gramchev, T. (2003)
Rendiconti del Seminario Matematico
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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...
Cappiello, M. (2003)
Rendiconti del Seminario Matematico
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Jacek Dębecki (1998)
Archivum Mathematicum
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A complete classification of natural transformations of Hamiltonians into vector fields on symplectic manifolds is given herein.