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arXiv:1205.1810 [math.FA]AbstractReferencesReviewsResources

Formally self-adjoint quasi-differential operators and boundary value problems

Andrii Goriunov, Vladimir Mikhailets, Konstantin Pankrashkin

Published 2012-05-08, updated 2013-01-04Version 3

We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval. The technique are then used to describe all maximal dissipative, accumulative and self-adjoint extensions of the associated minimal operator and its generalized resolvents in terms of the boundary conditions. Some specific classes are considered in greater detail.

Comments: Extended and revised version. Results concerning regularization by quasi-derivatives of formal differential operators with distributional coefficients were added. 13 pages
Journal: Electron. J. Diff. Equ., Vol. 2013 (2013), No. 101, pp. 1-16
Categories: math.FA
Subjects: 34B05, 34L40, 34B38, 47N20
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