Abstract
Sharp trace regularity estimates for a Kirchhoff plate with free boundary conditions are established with the primary goal of tracking the effects of thickness in the estimates. Microlocal analysis is used in the proof with an alternative localization to the one seen in the earlier work of Lasiecka and Triggiani. Knowledge of how thickness appears in the estimates has important implications in uniform stability for more complex systems which involve the Kirchhoff plate equation.
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© 2001 Birkhãuser Verlag Basel/Switzerland
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Horn, M.A. (2001). Effects of Thickness on Sharp Trace Regularity for a Kirchhoff Plate with Free Boundary Conditions. In: Hoffmann, KH., Lasiecka, I., Leugering, G., Sprekels, J., Tröltzsch, F. (eds) Optimal Control of Complex Structures. ISNM International Series of Numerical Mathematics, vol 139. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8148-7_11
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DOI: https://doi.org/10.1007/978-3-0348-8148-7_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9456-2
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