Abstract
General elliptic boundary value problems with the spectral parameter appearing linearly both in the elliptic equation and in boundary conditions are considered. It is proved that the corresponding matrix operator from the Boutet de Monvel algebra is similar to an almost diagonal operator. This result is applied to prove the completeness and the summability (in the sense of Abel) of the root vectors of this operator.
Original language | English |
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Pages (from-to) | 205-231 |
Number of pages | 27 |
Journal | Integral Equations and Operator Theory |
Volume | 23 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1995 |
Keywords
- MSC: 35J55, 47A56
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory