| Download ( PDF | 734kB) |
Owner only: item control page
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems
Abels, Helmut, Grubb, Gerd and Wood, Ian G. (2010) Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Preprintreihe der Fakultät Mathematik 13/2010, Working Paper. (Unpublished)Date of publication of this fulltext: 13 Apr 2011 03:41
Monograph
DOI to cite this document: 10.5283/epub.20481
Abstract
For a strongly elliptic second-order operator A on a bounded domain Rn it has been known for many years how to interpret the general closed L2()-realizations of A as representing boundary conditions (generally nonlocal), when the domain and coeffcients are smooth. The purpose of the present paper is to extend this representation to nonsmooth domains and coeffcients, including the case of Hölder ...
For a strongly elliptic second-order operator A on a bounded domain Rn it has been known for many years how to interpret the general closed L2()-realizations of A
as representing boundary conditions (generally nonlocal), when the domain and coeffcients are smooth. The purpose of the present paper is to extend this representation to
nonsmooth domains and coeffcients, including the case of Hölder C 3/2+"-smoothness, in such a way that pseudodifferential methods are still available for resolvent constructions and ellipticity considerations. We show how it can be done for domains with B 3/2 2;p-smoothness and operators with H1 q -coeffcients, for suitable p > 2(n
Involved Institutions
Details
| Item type | Monograph (Working Paper) | ||||||||||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Volume: | 13/2010 | ||||||||||||||
| Date | 2010 | ||||||||||||||
| Institutions | Mathematics > Prof. Dr. Helmut Abels | ||||||||||||||
| Classification |
| ||||||||||||||
| Keywords | Elliptic boundary value problems; pseudodifferential boundary operators; extension theory; M-functions; symbol smoothing; nonsmooth domains; nonsmooth coeffcients | ||||||||||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||||||||||
| Status | Unpublished | ||||||||||||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||||||||||||
| Created at the University of Regensburg | Yes | ||||||||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-204815 | ||||||||||||||
| Item ID | 20481 |
Export bibliographical data
Owner only: item control page
Download Statistics
Download Statistics