Upper Estimates for a Moving Boundary Problem for Resonant Nonlinear Schrödinger Equations |
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Authors: | J. N. Flavin C. Rogers |
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Affiliation: | National University of Ireland, Galway, Ireland The Hong Kong Polytechnic University, Hong Kong University of New South Wales, Australia Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems |
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Abstract: | Pointwise bounds are obtained for the solution of an initial boundary value problem for the resonant nonlinear Schrödinger equations. The context is that of a straight-line region with prescribed moving boundaries, expanding or noncontracting, upon which zero (Dirichlet) conditions are imposed. |
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