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

The 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 calc...

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Bibliographic Details

Main Author:	Claudia Garetto
Format:	Default Article
Published:	2004
Subjects:	Other mathematical sciences not elsewhere classified Colombeau algebras Global hypoellipticity Pseudo-differential operators Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/17303
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