Abstract
In this paper we investigate the large time behavior of solutions to the Cauchy problem on R for a one-dimensional thermoelastic system with dissipation. When the initial data is suitably small, (S. Zheng, Chin. Ann. Math. 8B (1987), 142-155) established the global existence and the decay properties of the solution. Our aim is to improve the results and to obtain the sharper decay properties, which seems to be optimal. The proof is given by the energy method and the Green function method.
| Original language | English |
|---|---|
| Pages (from-to) | 167-189 |
| Number of pages | 23 |
| Journal | Journal of Inequalities and Applications |
| Volume | 6 |
| Issue number | 2 |
| Publication status | Published - 2000 |
Keywords
- Decay rate
- Dissipation
- Green function
- Thermoelastic system
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Discrete Mathematics and Combinatorics