Type of Publication: | Working Paper/Technical Report |
Publication status: | Published |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1u84ywg6aig2f7 |
Author: | Denk, Robert; Faierman, Melvin |
Year of publication: | 2017 |
ArXiv-ID: | arXiv:1710.01959 |
Series: | Konstanzer Schriften in Mathematik ; 366 |
Summary: |
We consider an elliptic boundary problem over a bounded region Ω in Rn and acting on the generalized Sobolev space W0,χp(Ω) for 1
n or a closed manifold acting on W0,χ2(Ω), called H\"{o}rmander space, have been the subject of investigation by various authors. Then in this paper we will, under the assumption of parameter-ellipticity, establish results pertaining to the existence and uniqueness of solutions of the boundary problem. Furthermore, under the further assumption that the boundary conditions are null, we will establish results pertaining to the spectral properties of the Banach space operator induced by the boundary problem, and in particular, to the angular and asymptotic distribution of its eigenvalues. |
MSC Classification: | 35J40,46E35 |
Subject (DDC): | 510 Mathematics |
Keywords: | Generalized Sobolev space, parameter-ellipticity, existence, uniqueness, eigenvalue asymptotics |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
DENK, Robert, Melvin FAIERMAN, 2017. An elliptic boundary problem acting on generalized Sobolev spaces
@techreport{Denk2017-10-05T10:47:25Zellip-40438, series={Konstanzer Schriften in Mathematik}, title={An elliptic boundary problem acting on generalized Sobolev spaces}, year={2017}, number={366}, author={Denk, Robert and Faierman, Melvin} }
Denk_2-1u84ywg6aig2f7.pdf | 103 |