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

URN to cite this document:
urn:nbn:de:bvb:355-epub-204815
DOI to cite this document:
10.5283/epub.20481
Abels, Helmut ; Grubb, Gerd ; Wood, Ian G.
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Date of publication of this fulltext: 13 Apr 2011 03:41


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 ...

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