Incomplete iterated Cauchy problems
type: Item
instance of: scholarly article
title: Incomplete iterated Cauchy problems
zbMATH Open document ID: 0768.34037
DOI: 10.1016/0022-247X(92)90180-L
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-04-01T00:00:00Z
review text: The author is concerned with incomplete Cauchy problems via \(C\)- semigroups. Some examples, including perturbations of Laplace equation and incomplete versions of the wave equation are given. Note that in Definition 2.3, one must replace \(W(t)x-x\) by \(W(t)x-Cx\).
reviewed by: N. H. Pavel
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 150616
zbMATH Keywords: incomplete Cauchy problems
zbMATH Keywords: \(C\)-semigroups
zbMATH Keywords: perturbations of Laplace equation
zbMATH Keywords: wave equation
author: R. deLaubenfels
MaRDI profile type: Publication
cites work: Fractional powers of closed operators and the semigroups generated by them
cites work: A mathematical model for linear elastic systems with structural damping
cites work: Proof of extensions of two conjectures on structural damping for elastic systems
cites work: Semigruppi regolarizzabili
cites work: Q3906660
cites work: The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
cites work: Powers of Generators of Holomorphic Semigroups
cites work: Second order incomplete expiring Cauchy problems
cites work: Integrated semigroups, C-semigroups and the abstract Cauchy problem
cites work: Entire solutions of the abstract Cauchy problem
cites work: Existence and Uniqueness Families for the Abstract Cauchy Problem
cites work: Holomorphic \(C\)-existence families
cites work: Semigroups of operators and second-order Cauchy problems
cites work: Singular perturbation and boundary layer for an abstract Cauchy problem
cites work: The underdetermined Cauchy problem in Banach spaces
cites work: The Cauchy problem with incomplete initial data in Banach spaces
cites work: Some Remarks on Infinitesimal Generators of Analytic Semigroups
cites work: Q3721264
cites work: An Abstract d8217;Alembert Formula
cites work: Regularized semigroups, iterated Cauchy problems and equipartition of energy
cites work: On the generators of exponentially bounded C-semigroups
cites work: Exponentially bounded C-semigroups and integrated semigroups
cites work: One-parameter semigroups of positive operators
cites work: Integrated semigroups and their applications to the abstract Cauchy problem
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Higher order abstract Cauchy problems
cites work: On the exponentially bounded C-semigroups
cites work: Q3697651
description: scientific article; zbMATH DE number 150616