The Friedrichs extension for elliptic wedge operators of second order
dc.creator | Krainer, T | |
dc.creator | Mendoza, GA | |
dc.date.accessioned | 2021-01-14T21:32:59Z | |
dc.date.available | 2021-01-14T21:32:59Z | |
dc.date.issued | 2018-03-01 | |
dc.identifier.issn | 1079-9389 | |
dc.identifier.doi | http://dx.doi.org/10.34944/dspace/4681 | |
dc.identifier.other | FQ1GL (isidoc) | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/4699 | |
dc.description.abstract | Let 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.extent | 295-328 | |
dc.relation.haspart | Advances in Differential Equations | |
dc.rights | All Rights Reserved | |
dc.subject | math.AP | |
dc.subject | math.AP | |
dc.subject | math.FA | |
dc.subject | Primary: 58J32, Secondary: 58J05, 35J47, 35J57 | |
dc.title | The Friedrichs extension for elliptic wedge operators of second order | |
dc.type | Article | |
dc.type.genre | Pre-print | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.date.updated | 2021-01-14T21:32:56Z | |
refterms.dateFOA | 2021-01-14T21:33:00Z |