Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type

We provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are a bounded perturbation of a differential operator...

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Bibliographic Details

Main Author:	Claudia Garetto
Format:	Default Article
Published:	2009
Subjects:	Other mathematical sciences not elsewhere classified Algebras of generalized functions Generalized solutions of partial differential equations Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/17308
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