The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.
|Number of pages||4|
|Journal||Proceedings of the Japan Academy Series A: Mathematical Sciences|
|Publication status||Published - 2011 Jun|
- Decay estimate
- Global existence
- Time-weighted energy method
ASJC Scopus subject areas