One-dimensional degenerate diffusion operators

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)=\gamma xu"(x) + b u'(x),] with constants \(\gamma >0\) and \(b\geq 0\), in the space \(...

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Bibliographic Details
Published in:arXiv.org 2013-02
Main Authors: Albanese, Angela A, Mangino, Elisabetta M
Format: Article
Language:English
Subjects:
Operators
Online Access:Get full text
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Summary: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)=\gamma xu"(x) + b u'(x),] with constants \(\gamma >0\) and \(b\geq 0\), in the space \(C([0,\infty])\)
ISSN:2331-8422