Power series solution of a nonlinear Schroedinger equation

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dc.creatorChrist, Michael
dc.date2005-03-17
dc.date.accessioned2026-07-07T05:18:06Z
dc.date.available2026-07-07T05:18:06Z
dc.descriptionA slightly modified variant of the cubic periodic one-dimensional nonlinear Schroedinger equation is shown to admit weak solutions for all initial data in certain function spaces wider than L^2. These solutions depend uniformly continuously on the initial data, in the norms considered. The solutions are constructed as sums of infinite series of multilinear operators applied to initial data; no fixed point argument or energy inequality are used. In a companion paper we have shown that weak solutions in these same function spaces are however not unique.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0503368
dc.identifierhttp://arxiv.org/abs/math/0503368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74540
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35Q55
dc.titlePower series solution of a nonlinear Schroedinger equation
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