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Creators/Authors contains: "Alexandrou Himonas, A."

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  1. ; (, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences)
    This work studies the initial-boundary value problem (ibvp) of the two-dimensional nonlinear Schrödinger equation on the half-plane with initial data in Sobolev spaces and Neumann or Robin boundary data in appropriate Bourgain spaces. It establishes well-posedness in the sense of Hadamard by using the explicit solution formula for the forced linear ibvp obtained via Fokas’s unified transform, and a contraction mapping argument. 
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