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Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects

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2017

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Wang, Weike
Xue, Rui

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https://doi.org/10.1002/mma.3983
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Mathematical Methods in the Applied Sciences. 2017, 40(1), pp. 210-222. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.3983

Zusammenfassung

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.

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Fachgebiet (DDC)
510 Mathematik

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semilinear Timoshenko system; optimal decay estimate

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ISO 690RACKE, Reinhard, Weike WANG, Rui XUE, 2017. Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects. In: Mathematical Methods in the Applied Sciences. 2017, 40(1), pp. 210-222. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.3983
BibTex
@article{Racke2017Optim-32814,
  year={2017},
  doi={10.1002/mma.3983},
  title={Optimal decay rates and global existence for a semilinear Timoshenko system with  two damping effects},
  number={1},
  volume={40},
  issn={0170-4214},
  journal={Mathematical Methods in the Applied Sciences},
  pages={210--222},
  author={Racke, Reinhard and Wang, Weike and Xue, Rui}
}
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