Asymptotic Behavior of a Mindlin-Timoshenko Plate with Viscoelastic Dissipation on the Boundary

MR2035445 Jaime E. Munoz RIVERA and Higidio Portillo OQUENDO Jaime E. Munoz RIVERA and Higidio Portillo OQUENDO Asymptotic Behavior of a Mindlin-Timoshenko Plate with Viscoelastic Dissipation on the Boundary Funkcialaj Ekvacioj. Serio Internacia 46 2003 363--382 http://fe.math.kobe-u.ac.jp/FE/FullPapers/46-3/fe46-3-2.pdf http://www.ams.org/mathscinet-getitem?mr=MR2035445 46-363 2003 Asymptotic Behavior of a Mindlin-Timoshenko Plate with Viscoelastic Dissipation on the Boundary Jaime E. Munoz RIVERA and Higidio Portillo OQUENDO Jaime E. Munoz RIVERA and Higidio Portillo OQUENDO

1 Ciarletta, M. A differential problem for heat equation with a boundary condition with memory Applied Mathematical Letters 10 1997 95-101 MR1429481

2 Fabrizio, M.; Morro, A. A boundary condition with memory in Electromagnetism Arch. Rational Mech. Anal. 136 1996 359-381 MR1423012

3 Lagnese, J, E. Boundary stabilization of thin plates SIAM, Studies in Applied Mathematic, vol 10 Philadelphia 1989 MR1061153

4 Munoz Rivera, J. E.; Lapa, E. C.; Barreto, R. Decay rates for viscoelastic plates with memory Journal of Elasticity 44 1996 61-87 MR1417809

5 Munoz Rivera, J. E.; Andrade, D. Exponential decay of non-linear wave equation with a viscoelastic boundary condition Math. Methods Appl. Sci. 23 2000 41-61 MR1734478

6 Munoz Rivera, J. E.; Andrade, D. A boundary condition with memory in elasticity Appl. Math. Lett. 13 2000 115-121 MR1751533

7 Qin, T. Global solvability of nonlinear wave equation with a viscoelastic boundary condition Chin. Ann. of Math. 14B 1993 335-346 MR1264307

8 Racke, R. Lectures on nonlinear evolution equations. Initial value problems Aspect of Mathematics E19. Friedr. Vieweg & Sohn, Braunschweig/Wiesbaden 1992 MR1158463