CORES FOR SECOND-ORDER DIFFERENTIAL OPERATORS ON REAL INTERVALS

TitleCORES FOR SECOND-ORDER DIFFERENTIAL OPERATORS ON REAL INTERVALS
Publication TypeJournal Article
Year of Publication2009
AuthorsALTOMARE, FRANCESCO, LEONESSA, VITA, MILELLA, SABINA
Volume13
Issue4
Start Page477
Pagination20
Date Published2017
ISSN1083-2564
AMS35A35, 41A36, 47D06, 47E05
Abstract

We investigate several general conditions in order to determine some cores for generators of strongly continuous positive semigroups of the form Au := αu′′ on weighted spaces of continuous functions on an arbitrary noncompact real interval. As an application we consider a degenerate differential operator of the above mentioned form on the interval [0, +∞[ and we establish an approximation formula for the corresponding positive semigroup in terms of iterates of an integral modification of Szász-Mirakjan operators.

URLhttp://www.acadsol.eu/en/articles/13/4/3.pdf
Refereed DesignationRefereed
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