Gain of analyticity for semilinear Schroedinger equations

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dc.creatorChihara, Hiroyuki
dc.date2007-08-16
dc.date2008-06-15
dc.date.accessioned2026-07-07T09:44:20Z
dc.date.available2026-07-07T09:44:20Z
dc.descriptionWe discuss gain of analyticity phenomenon of solutions to the initial value problem for semilinear Schroedinger equations with gauge invariant nonlinearity. We prove that if the initial data decays exponentially, then the solution becomes real-analytic in the space variable and a Gevrey function of order 2 in the time variable except in the initial plane. Our proof is based on the energy estimates developed in our previous work and on fine summation formulae concerned with a matrix norm.
dc.description37 pages, no figure, minor change
dc.identifierhttps://arxiv.org/abs/0708.2154
dc.identifierhttp://arxiv.org/abs/0708.2154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162835
dc.subjectAnalysis of PDEs
dc.subject35Q55; 35B65; 35G25
dc.titleGain of analyticity for semilinear Schroedinger equations
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