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| GLOBAL EXISTENCE OF MILD SOLUTIONS FOR THE ELASTIC SYSTEM WITH STRUCTURAL DAMPING |
| Wei Shi |
| (Dept. of Math., Xinjiang Agricultural University, Ulumuqi 830052, Xinjiang, PR China) |
| DOI： |
| 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. |
| Key words: C_0-semigroup; elastic systems; structural damping; mild solution; fixed point |