Year: 2019
Author: Wei Shi
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 180–188
Abstract
In this paper, we study the global existence of mild solutions for the semilinear initial-value problems of second order evolution equations, which can model an elastic system with structural damping. This discussion is based on the operator semigroups theory and the Leray-Schauder fixed point theorem. In addition, an example is presented to illustrate our theoretical result.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18076
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 180–188
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: $C_0$-semigroup elastic systems structural damping mild solution fixed point.