Details
| Original language | English |
|---|---|
| Pages (from-to) | 223-285 |
| Number of pages | 63 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 31 |
| Issue number | 3 |
| Publication status | Published - 28 Feb 2007 |
Abstract
We study the closed extensions (realizations) of differential operators subject to homogeneous boundary conditions on weighted L p -Sobolev spaces over a manifold with boundary and conical singularities. Under natural ellipticity conditions we determine the domains of the minimal and the maximal extension. We show that both are Fredholm operators and give a formula for the relative index.
Keywords
- Boundary value problems, Manifolds with conical singularities, Pseudodifferential analysis
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Social Sciences(all)
- Political Science and International Relations
- Mathematics(all)
- Geometry and Topology
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In: Annals of Global Analysis and Geometry, Vol. 31, No. 3, 28.02.2007, p. 223-285.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Realizations of differential operators on conic manifolds with boundary
AU - Coriasco, S.
AU - Schrohe, E.
AU - Seiler, J.
N1 - Copyright: Copyright 2007 Elsevier B.V., All rights reserved.
PY - 2007/2/28
Y1 - 2007/2/28
N2 - We study the closed extensions (realizations) of differential operators subject to homogeneous boundary conditions on weighted L p -Sobolev spaces over a manifold with boundary and conical singularities. Under natural ellipticity conditions we determine the domains of the minimal and the maximal extension. We show that both are Fredholm operators and give a formula for the relative index.
AB - We study the closed extensions (realizations) of differential operators subject to homogeneous boundary conditions on weighted L p -Sobolev spaces over a manifold with boundary and conical singularities. Under natural ellipticity conditions we determine the domains of the minimal and the maximal extension. We show that both are Fredholm operators and give a formula for the relative index.
KW - Boundary value problems
KW - Manifolds with conical singularities
KW - Pseudodifferential analysis
UR - http://www.scopus.com/inward/record.url?scp=33947404868&partnerID=8YFLogxK
U2 - 10.1007/s10455-006-9019-7
DO - 10.1007/s10455-006-9019-7
M3 - Article
AN - SCOPUS:33947404868
VL - 31
SP - 223
EP - 285
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
SN - 0232-704X
IS - 3
ER -