Global L2-boundedness theorems for a class of Fourier integral operators

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dc.creatorRuzhansky, Michael
dc.creatorSugimoto, Mitsuru
dc.date2003-11-13
dc.date.accessioned2026-07-07T07:36:17Z
dc.date.available2026-07-07T07:36:17Z
dc.descriptionThe local $L^2$-mapping property of Fourier integral operators has been established in Hörmander \cite{H} and in Eskin \cite{E}. In this paper, we treat the global $L^2$-boundedness for a class of operators that appears naturally in many problems. As a consequence, we will improve known global results for several classes of pseudo-differential and Fourier integral operators, as well as extend previous results of Asada and Fujiwara \cite{AF} or Kumano-go \cite{Ku}. As an application, we show a global smoothing estimate to generalized Schrödinger equations which extends the results of Ben-Artzi and Devinatz \cite{BD}, Walther \cite{Wa}, and \cite{Wa2}.
dc.identifierhttps://arxiv.org/abs/math/0311219
dc.identifierhttp://arxiv.org/abs/math/0311219
dc.identifierComm. Partial Differential Equations, 31 (2006), 547-569.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120375
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35S30
dc.titleGlobal L2-boundedness theorems for a class of Fourier integral operators
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