Trace expansions for elliptic cone operators with stationary domains

Juan Bautista Gil, Thomas Krainer, Gerardo A. Mendoza

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We analyze the behavior of the trace of the resolvent of an elliptic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two components, one associated with the minimal extension of the operator, and another, of finite rank, depending on the particular choice of domain. We give a full asymptotic expansion of the first component and expand the component of finite rank in the case where the domain is stationary. The results make use of, and develop further, our previous investigations on the analytic and geometric structure of the resolvent. The analysis of nonstationary domains, considerably more intricate, is pursued elsewhere.

Original languageEnglish (US)
Pages (from-to)6495-6522
Number of pages28
JournalTransactions of the American Mathematical Society
Volume362
Issue number12
DOIs
StatePublished - Dec 1 2010

Fingerprint

Resolvent
Mathematical operators
Cones
Cone
Trace
Finite Rank
Operator
Geometric Structure
Expand
Asymptotic Expansion
Differential operator
Infinity
Tend

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Trace expansions for elliptic cone operators with stationary domains. / Gil, Juan Bautista; Krainer, Thomas; Mendoza, Gerardo A.

In: Transactions of the American Mathematical Society, Vol. 362, No. 12, 01.12.2010, p. 6495-6522.

Research output: Contribution to journalArticle

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