Remarks on thin quasilinear plates with mixed boundary conditions

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, us...

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Veröffentlicht in:Journal of evolution equations 2022-06, Vol.22 (2), Article 54
Hauptverfasser: Batista, A. A., Clark, H. R., Guardia, R. R., Lourêdo, A. T., Milla-Miranda, M.
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Sprache:eng
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Zusammenfassung: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.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-022-00810-w