On the closure of elliptic wedge operators

Juan B. Gil; Thomas Krainer; Gerardo A. Mendoza

doi:10.1007/s12220-012-9319-z

On the closure of elliptic wedge operators

Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.

Original language	English (US)
Pages (from-to)	2035-2062
Number of pages	28
Journal	Journal of Geometric Analysis
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s12220-012-9319-z
State	Published - Oct 2013

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s12220-012-9319-z

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title = "On the closure of elliptic wedge operators",

abstract = "We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.",

author = "Gil, {Juan B.} and Thomas Krainer and Mendoza, {Gerardo A.}",

note = "Funding Information: Work partially supported by the National Science Foundation, Grants DMS-0901173 and DMS-0901202.",

year = "2013",

month = oct,

doi = "10.1007/s12220-012-9319-z",

language = "English (US)",

volume = "23",

pages = "2035--2062",

journal = "Journal of Geometric Analysis",

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T1 - On the closure of elliptic wedge operators

AU - Gil, Juan B.

AU - Krainer, Thomas

AU - Mendoza, Gerardo A.

N1 - Funding Information: Work partially supported by the National Science Foundation, Grants DMS-0901173 and DMS-0901202.

PY - 2013/10

Y1 - 2013/10

N2 - We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.

AB - We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.

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U2 - 10.1007/s12220-012-9319-z

DO - 10.1007/s12220-012-9319-z

M3 - Article

AN - SCOPUS:84885613569

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SP - 2035

EP - 2062

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 4

ER -

On the closure of elliptic wedge operators

Abstract

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