TY - JOUR
T1 - Global Existence of Mild Solutions for the Elastic System with Structural Damping
AU - Shi , Wei
JO - Annals of Applied Mathematics
VL - 2
SP - 180
EP - 188
PY - 2020
DA - 2020/08
SN - 35
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18076.html
KW - $C_0$-semigroup, elastic systems, structural damping, mild solution, fixed point.
AB - <p style="text-align: justify;">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.</p>