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One-dimensional degenerate diffusion operators

2013/01/23 by Albanese, Angela A., Mangino, Elisabetta M.
#35B65 #35K65 #47D07 (Primary) 33C10 #60J35 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1301.5447

Abstract

The aim of this paper is to present some results about generation, sectoriality and gradient estimates both for the semigroup and for the resolvent of suitable realizations of the operators [\Ab u(x)=γxu"(x) + b u'(x),] with constants γ>0 and b≥ 0, in the space C([0,∞])

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