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Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems

Abels, Helmut and 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 (Unpublished)

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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 ...

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Item Type:Monograph (Working Paper)
Date:2010
Institutions:Mathematics > Prof. Dr. Helmut Abels
Classification:
NotationType
35J25MSC
35P05MSC
35S15MSC
47A10MSC
47A20MSC
47G30MSC
Keywords:Elliptic boundary value problems; pseudodifferential boundary operators; extension theory; M-functions; symbol smoothing; nonsmooth domains; nonsmooth coeffcients
Subjects: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Status:Unpublished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
Owner: Universitätsbibliothek Regensburg
Deposited On:13 Apr 2011 03:41
Last Modified:13 Mar 2014 17:14
Item ID:20481
Owner Only: item control page
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