Show simple item record

dc.creatorKrainer, T
dc.creatorMendoza, GA
dc.date.accessioned2021-01-14T21:32:59Z
dc.date.available2021-01-14T21:32:59Z
dc.date.issued2018-03-01
dc.identifier.issn1079-9389
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/4681
dc.identifier.otherFQ1GL (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/4699
dc.description.abstractLet M be a smooth compact manifold whose boundary is the total space of a fibration N → Y with compact fibers, let E → M be a vector bundle. Let be a second order elliptic semibounded wedge operator. Under certain mild natural conditions on the indicial and normal families of A, the trace bundle of A relative to ν splits as a direct sum I = IF ⊕ IaF and there is a natural map P: C∞(Y;IF) → C∞(M; E) such that CIF∞(M; E) = P(C∞(Y;IF)) + Ċ∞(M;E) ⊂ Dmax(A). It is shown that the closure of A when given the domain CIF∞(M;E) is the Friedrichs extension of (†) and that this extension is a Fredholm operator with compact resolvent. Also given are theorems pertaining the structure of the domain of the extension which completely characterize the regularity of its elements at the boundary.
dc.format.extent295-328
dc.relation.haspartAdvances in Differential Equations
dc.rightsAll Rights Reserved
dc.subjectmath.AP
dc.subjectmath.AP
dc.subjectmath.FA
dc.subjectPrimary: 58J32, Secondary: 58J05, 35J47, 35J57
dc.titleThe Friedrichs extension for elliptic wedge operators of second order
dc.typeArticle
dc.type.genrePre-print
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-01-14T21:32:56Z
refterms.dateFOA2021-01-14T21:33:00Z


Files in this item

Thumbnail
Name:
1509.01842v1.pdf
Size:
383.1Kb
Format:
PDF

This item appears in the following Collection(s)

Show simple item record