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Volume 35, Issue 2
Global Existence of Mild Solutions for the Elastic System with Structural Damping

Wei Shi

Ann. Appl. Math., 35 (2019), pp. 180-188.

Published online: 2020-08

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  • 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.

  • Keywords

$C_0$-semigroup, elastic systems, structural damping, mild solution, fixed point.

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COPYRIGHT: © Global Science Press

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@Article{AAM-35-180, author = {Shi , Wei}, title = {Global Existence of Mild Solutions for the Elastic System with Structural Damping}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {2}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18076.html} }
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 -

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.

Shi , Wei. (2020). Global Existence of Mild Solutions for the Elastic System with Structural Damping. Annals of Applied Mathematics. 35 (2). 180-188. doi:
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