Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects
Abstract
In this paper, we study a semilinear Timoshenko system having two damping effects. The observation that two damping effects might lead to smaller decay rates for solutions in comparison with one damping effect is rigorously proved here in providing optimality results. Moreover, the global well-posedness for small data in a low regularity class is presented for a larger class of nonlinearities than previously known and proved by a simpler approach. Copyright
- Publication:
-
Mathematical Methods in the Applied Sciences
- Pub Date:
- January 2017
- DOI:
- 10.1002/mma.3983
- Bibcode:
- 2017MMAS...40..210R