Pseudo-differential operators in algebras of generalized functions and global hypoellipticity

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dc.creatorGaretto, Claudia
dc.date2005-02-14
dc.date.accessioned2026-07-07T05:16:58Z
dc.date.available2026-07-07T05:16:58Z
dc.descriptionThe aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hypoellipticity of the symbols gives a result of regularity for the corresponding pseudo-differential equations. This calculus and this frame are proposed as tools for the study in Colombeau algebras of partial differential equations globally defined on $\mathbb{R}^n$.
dc.identifierhttps://arxiv.org/abs/math/0502283
dc.identifierhttp://arxiv.org/abs/math/0502283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74188
dc.subjectAnalysis of PDEs
dc.subject46F30, 47G30, 35H05
dc.titlePseudo-differential operators in algebras of generalized functions and global hypoellipticity
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