Degenerate operators of Tricomi type in \(L^p\)-spaces and in spaces of continuous functions
type: Item
instance of: scholarly article
title: Degenerate operators of Tricomi type in \(L^p\)-spaces and in spaces of continuous functions
zbMATH Open document ID: 1235.35139
author: Roland Schnaubelt
author: Simona Fornaro
author: Giorgio Metafune
author: Diego Pallara
published in: Journal of Differential Equations
publication date: 2011-12-14T00:00:00Z
review text: The authors study elliptic operators \(L\) with Dirichlet boundary conditions over a bounded domain \(\Omega\) whose diffusion coefficients degenerate linearly on \(\partial \Omega \) in tangential directions. The domain of \(L\) is computed and existence, uniqueness and (maximal) regularity of the elliptic and parabolic problems for \(L\) in \(L^p\)-spaces and in spaces of continuous functions are established. Moreover, it is proved that the analytic semigroups generated by \(L\) are consistent, positive, compact and exponentially stable.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 5988424
zbMATH Keywords: Tricomi type operators
zbMATH Keywords: maximal regularity
zbMATH Keywords: semigroups
MaRDI profile type: Publication
full work available at URL: j.jde.2011.09.017
OpenAlex ID: W2008504250
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DOI: 10.1016/J.JDE.2011.09.017
description: scientific article; zbMATH DE number 5988424