Fundamental solutions of second order elliptic linear partial differential operators with analytic coefficients and simple complex characteristics

We give an explicit formula for the fundamental solutions of an elliptic linear partial differential operator of the second order with analytic coefficients and simple complex characteristics in an open set Ω ⊂ Rn. We prove that those fundamental solutions can be continued at least locally as multi-...

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Bibliographic Details
Main Author: SERGE LUKASIEWICZ
Format: Article
Language:English
Published: Sapienza Università Editrice 2017-06-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:http://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2017(2)/277-290.pdf