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Characterization of non-smooth pseudodifferential operators

URN to cite this document:
urn:nbn:de:bvb:355-epub-317761
Pfeuffer, Christine
Date of publication of this fulltext: 07 May 2015 11:43


Abstract (English)

In the last decades the theory of pseudodifferential operators was established as an auxiliary tool for solving problems in the field of partial differential equations. However, proving that the inverse of a partial differential operator is a pseudodifferential operator is often difficult. In order to simplify this task, R. Beals and J. Ueberberg developed a characterization of pseudodifferential ...

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Translation of the abstract (German)

In den letzten Jahrzehnten etablierte sich die Theorie der Pseudodifferentialoperatoren als Hilfsmittel zum Lösen von Problemen aus dem Gebiet der partiellen Differentialgleichungen. Hierfür muss überprüft werden, dass der Inverse Operator eines zugehörigen partiellen Differentialoperators ein Pseudodifferentialoperator ist. Zur Vereinfachung dieser Aufgabe entwickelten R. Beals und J. Ueberberg ...

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