Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 33, Issue 11-12, Pages 5189-5202Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2013.33.5189
Keywords
Quasilinear thermoelastic plates; existence and uniqueness of strong solutions; maximal regularity; exponential decay
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Funding
- DMS-NSF [0606882]
- AFOSR [09-1-0459]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1444215] Funding Source: National Science Foundation
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We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R-n. Global Well-posedness of solutions is shown by applying the theory of maximal parabolic regularity of type L. In addition, we prove exponential decay rates for strong solutions and their derivatives.
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