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- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-022-00810-w
- Publisher site
- See Article on Publisher Site
Abstract
This paper deals with initial-boundary value problems for a damped thin quasilinear plate. With restriction on the norms of the initial data, it will be established global weak and global strong solutions. It will also be shown that the strong solution is uniformly stable and unique. Furthermore, using a weak internal damping mechanism, an exponential decay estimate for the energy of weak solutions is established.
Journal
Journal of Evolution Equations – Springer Journals
Published: Jun 1, 2022
Keywords: Quasilinear Carrier plate equations; Quasilinear boundary conditions; Existence; Uniqueness; Damping; Energy exponential decay; 35B40; 35D30; 35D35; 35G31; 35M13