One-dimensional Feller semigroups with reflecting barriers
type: Item
instance of: scholarly article
title: One-dimensional Feller semigroups with reflecting barriers
zbMATH Open document ID: 0958.47020
author: Michele Campiti
author: Giorgio Metafune
author: Diego Pallara
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-04-04T00:00:00Z
review text: Given a second-order degenerate ordinary differential operator \(A=mu''+qu'\) in a real interval, the authors study necessary and sufficient conditions for generation of a strongly continuous semigroup in the space of continuous functions under Neumann-type boundary condition. Existence of classical solutions of the associated parabolic initial value problem is also investigated.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 1441400
zbMATH Keywords: Feller semigroups
zbMATH Keywords: second-order degenerate ordinary differential operator
zbMATH Keywords: strongly continuous semigroup
zbMATH Keywords: space of continuous functions
zbMATH Keywords: Neumann-type boundary condition
zbMATH Keywords: parabolic initial value problem
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6724
OpenAlex ID: W1989547974
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DOI: 10.1006/JMAA.2000.6724
description: scientific article; zbMATH DE number 1441400