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Creators/Authors contains: "Sanchez, Beckett"

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  1. ; ; (, Partial Differential Equations and Applications)
    We consider the periodic fractional nonlinear Schroedinger equation, where the nonlinearity is expressed in two ways either as a derivative of a polynomial (including negative powers, such including logarithmic nonlinearities), or given as a sum of powers, possibly infinite. We obtain the local well-posedness for the Cauchy problem of this equation in weighted Sobolev spaces and with non-vanishing initial data. 
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    Free, publicly-accessible full text available April 28, 2026