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Schrdinger Equations with nonlinearity of integral type

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 Title: Schrdinger Equations with nonlinearity of integral type Authors: Hayashi, N. Browse this author Ozawa, T. Browse this author Issue Date: 1-Oct-1994 Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 265 Start Page: 2 End Page: 12 Abstract: We consider the Cauchy problem for the nonlinear Schrodinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. Concerning the problem with finite initial time, we prove the global well-posedness in the largest space L2(!R2 ). Concerning the problem with infinite initial time, we prove the existence of modified wave operators on a dense set of small and sufficiently regular asymptotic states. Type: bulletin (article) URI: http://hdl.handle.net/2115/69016 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

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