Type of Publication:  Journal article 
URI (citable link):  http://nbnresolving.de/urn:nbn:de:bsz:352opus50751 
Author:  Agranovič, Michail S.; Denk, Robert; Faierman, Melvin 
Year of publication:  1997 
Published in:  Mathematical topics ; 14 (1997).  pp. 138199 
Summary: 
The paper is devoted to general elliptic boundary problems (A, B1 , ..., Bm) with a differential operator A of order 2m and general boundary conditions, acting in a bounded domain G of the ndimensional space. No selfadjointness is assumed. The main goal is to minimize, to some extent, the smoothness assumptions under which the known spectral results are true. The main results concern the asymptotics of the trace of the qth power of the resolvent, where q>n/2m, in an angle of ellipticity with parameter. For example, for the Dirichlet problem these asymptotics are obtained in the case of bounded and measurable coefficients in A and continuous coefficients in the principal part of A, while the boundary is assumed to belong to the Hölder space C2m1,1. The asymptotics of the moduli of the eigenvalues are investigated. The last section is devoted to indefinite spectral problems, with a realvalued multiplier changing the sign in front of the spectral parameter.

Subject (DDC):  510 Mathematics 
Link to License:  AttributionNonCommercialNoDerivs 2.0 Generic 
AGRANOVIČ, Michail S., Robert DENK, Melvin FAIERMAN, 1997. Weakly smooth nonselfadjoint spectral elliptic boundary problems. In: Mathematical topics. 14, pp. 138199
@article{Agranovic1997Weakl606, title={Weakly smooth nonselfadjoint spectral elliptic boundary problems}, year={1997}, volume={14}, journal={Mathematical topics}, pages={138199}, author={Agranovič, Michail S. and Denk, Robert and Faierman, Melvin} }
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