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Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems
Abels, Helmut, Grubb, Gerd und Wood, Ian G. (2010) Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Preprintreihe der Fakultät Mathematik 13/2010, Working Paper. (Unveröffentlicht)Veröffentlichungsdatum dieses Volltextes: 13 Apr 2011 03:41
Monographie
DOI zum Zitieren dieses Dokuments: 10.5283/epub.20481
Zusammenfassung
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
Beteiligte Einrichtungen
Details
| Dokumentenart | Monographie (Working Paper) | ||||||||||||||
| Schriftenreihe der Universität Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||||
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| Band: | 13/2010 | ||||||||||||||
| Datum | 2010 | ||||||||||||||
| Institutionen | Mathematik > Prof. Dr. Helmut Abels | ||||||||||||||
| Klassifikation |
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| Stichwörter / Keywords | Elliptic boundary value problems; pseudodifferential boundary operators; extension theory; M-functions; symbol smoothing; nonsmooth domains; nonsmooth coeffcients | ||||||||||||||
| Dewey-Dezimal-Klassifikation | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||||||||||||
| Status | Unveröffentlicht | ||||||||||||||
| Begutachtet | Nein, diese Version wurde noch nicht begutachtet (bei preprints) | ||||||||||||||
| An der Universität Regensburg entstanden | Ja | ||||||||||||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-204815 | ||||||||||||||
| Dokumenten-ID | 20481 |
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