Über die Lösbarkeit der ...-Gleichung auf Ringgebieten mit Hilfe von Lp-, Ck- und D'-stetigen Integraloperatoren.
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Michael Hortmann (1976)
Mathematische Annalen
Mayer (1871)
Mathematische Annalen
Nessim Sibony (1980/1981)
Inventiones mathematicae
S. Alinhac (1972/1973)
Séminaire Équations aux dérivées partielles (Polytechnique)
Michael Range, Yum-Tong Siu (1973)
Mathematische Annalen
Laura De Carli, Mauro Nacinovich (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Katharina Neusser (2009)
Archivum Mathematicum
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.
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