BV and Nikol'skij spaces and applications to the Stefan problem
type: Item
instance of: scholarly article
title: BV and Nikol'skij spaces and applications to the Stefan problem
zbMATH Open document ID: 0838.46027
author: Alberto Farina
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1996-06-06T00:00:00Z
full work available at URL: https://eudml.org/doc/244166
review text: Summary: The aim of this note is to show some properties of BV and Nikol'skij spaces that to my knowledge are not present in the literature in their general form here presented; by this I mean the lack of separability, their being the dual of a separable space, the convergence and the weak-star compactness in \(L^\infty_{W^*}(0, T; N^\lambda(\Omega))\) and finally their applications to the well-known two-phase Stefan problem.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 852038
zbMATH Keywords: interpolation theory
zbMATH Keywords: BV
zbMATH Keywords: Nikol'skij spaces
zbMATH Keywords: lack of separability
zbMATH Keywords: weak-star compactness
zbMATH Keywords: two-phase Stefan problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 852038