Open AccessPolynomial and Analytic Boundary Feedback Stabilization of Square Plate
Author(s) -
Salsabil Nouira
Publication year - 2010
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bsmp.v27i2.10207
Subject(s) - square (algebra) , mathematics , subspace topology , polynomial , boundary (topology) , stability (learning theory) , mathematical analysis , boundary value problem , space (punctuation) , exponential function , exponential stability , geometry , computer science , physics , quantum mechanics , machine learning , operating system , nonlinear system
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.
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