Corpus ID: 232427950

Quasi-fibered boundary pseudodifferential operators

@inproceedings{Kottke2021QuasifiberedBP,
  title={Quasi-fibered boundary pseudodifferential operators},
  author={C. Kottke and Fr'ed'eric Rochon},
  year={2021}
}
We develop a pseudodifferential calculus for differential operators associated to quasi-fibered boundary metrics (QFB metrics), a class of metrics including the quasi-asymptotically conical metrics (QAC metrics) of Degeratu-Mazzeo and the quasi-asymptotically locally Euclidean metrics (QALE metrics) of Joyce. Introducing various principal symbols, we introduce the notion of fully elliptic QFB operators and show that those are Fredholm when acting on suitable Sobolev spaces. For QAC metrics, we… Expand
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