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- W2788016850 abstract "We study the local and global wellposedness of the initial-boundary value problem for the biharmonic Schrodinger equation on the half-line with inhomogeneous Dirichlet-Neumann boundary data. First, we obtain a representation formula for the solution of the linear nonhomogenenous problem by using the Fokas method (also known as the unified transform method). We use this representation formula to prove space and time estimates on the solutions of the linear model in fractional Sobolev spaces by using Fourier analysis. Secondly, we consider the nonlinear model with a power type nonlinearity and prove the local wellposedness by means of a classical contraction argument. Global wellposedness of the defocusing model is established up to cubic nonlinearities by using the multiplier technique and proving hidden trace regularities." @default.
- W2788016850 created "2018-03-06" @default.
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- W2788016850 date "2018-02-28" @default.
- W2788016850 modified "2023-09-27" @default.
- W2788016850 title "The initial-boundary value problem for the biharmonic Schrodinger equation on the half-line" @default.
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