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The nonlinear Schr\"odinger equation on the half-space

math.AP · 2024-11-25 · conditional · novelty 6.0

Local well-posedness of the cubic NLS on the half-space R^n_+ is proved for s > n/2 - 1 using the Fokas method, with uniqueness and Lipschitz dependence on the data.

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  • The nonlinear Schr\"odinger equation on the half-space math.AP · 2024-11-25 · conditional · none · ref 4

    Local well-posedness of the cubic NLS on the half-space R^n_+ is proved for s > n/2 - 1 using the Fokas method, with uniqueness and Lipschitz dependence on the data.