Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/93613
Type: Artigo de periódico
Title: Spatial Analyticity Of Solutions Of A Nonlocal Perturbation Of The Kdv Equation
Author: Samaniego B.A.
Abstract: Let H denote the Hilbert transform and η ≥ 0. We show that if the initial data of the following problems ut+uux+u xxx+η(Hux+Huxxx) = 0, u(·, 0) = φ(·) and vt+1/2 (vx)2+v xxx+η(Hvx+Hvxxx) = 0, v(·, 0) = ψ(·) has an analytic continuation to a strip containing the real axis, then the solution has the same property, although the width of the strip might diminish with time. When η > 0 and the initial data is complex-valued we prove local well-posedness of the two problems above in spaces of analytic functions, which implies the constancy over time of the radius of the strip of analyticity in the complex plane around the real axis.
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Rights: fechado
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-27844456837&partnerID=40&md5=a90227809c0141474bcfea5cd7f3caa7
Date Issue: 2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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