On some abstract variable domain hyperbolic differential equations
type: Item
instance of: scholarly article
title: On some abstract variable domain hyperbolic differential equations
zbMATH Open document ID: 0954.34049
DOI: 10.1007/BF01759372
author: Marco Luigi Bernardi
author: Giovanna Bonfanti
author: Fabio Luterotti
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2001-02-05T00:00:00Z
review text: In this paper, the authors study the Cauchy problem for a class of linear abstract differential equations of hyperbolic type with variable domain. The authors prove a theorem on existence and uniqueness for weak solutions. Moreover, some applications to PDEs are also given: they concern linear hyperbolic equations either in noncylindrical regions or with mixed variable lateral conditions.
reviewed by: Stanisław Wedrychowicz
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 1463344
zbMATH Keywords: Cauchy problem
zbMATH Keywords: linear abstract differential equations of hyperbolic type
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: weak solutions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1463344