Ellipticity on spaces with higher singularities

Autoren: Der-Chen Chang, Bert-Wolfgang Schulze (2017)

We study corner-degenerate pseudo-differential operators of any singularity order and develop ellipticity based on the principal symbolic hierarchy, associated with the stratification of the underlying space. We construct parametrices within the calculus and discuss the aspect of additional trace and potential conditions along lower-dimensional strata.

Zeitschrift:
Science China Mathematics
Seiten:
2053–2076
Band:
60, Issue 11

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