Existence of positive solutions for some polyharmonic nonlinear equations in .
Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Novotny, Antonin (1997)
Portugaliae Mathematica
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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...
Philippe Gravejat (2004)
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Palamides, Alex P., Yannopoulos, Theodoros G. (2006)
Boundary Value Problems [electronic only]
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