Polynomial and Analytic Boundary Feedback Stabilization of Square Plate - doi: 10.5269/bspm.v27i2.10207
Nouira, Salsabil
Boletim da Sociedade Paranaense de Matemática, Tome 28 (2010), / Harvested from Portal de Periódicos da UEM
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We consider a boundary feedback stabilization problem of the plate equation in a square, in the case where the geometric condition of Ammari-Tucsnak [6] is not satisfied. We prove a polynomial decay for regular initial data. Moreover, we prove an exponential stability result for some subspace of the energy space.Finally, we give a precise estimate on the analyticity of reachable functions where we have an exponential stability.

Publié le : 2010-01-01
DOI : https://doi.org/10.5269/bspm.v27i2.10207 
@article{10207,
     title = {Polynomial and Analytic Boundary Feedback Stabilization of Square Plate - doi: 10.5269/bspm.v27i2.10207},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {28},
     year = {2010},
     doi = {10.5269/bspm.v27i2.10207},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/10207}
}

Nouira, Salsabil. Polynomial and Analytic Boundary Feedback Stabilization of Square Plate - doi: 10.5269/bspm.v27i2.10207. Boletim da Sociedade Paranaense de Matemática, Tome 28 (2010) . doi : 10.5269/bspm.v27i2.10207. http://gdmltest.u-ga.fr/item/10207/