TY - JOUR
T1 - Global solution for a quasi-linear plate system with boundary memory damping
AU - Zhang, Qiong
PY - 2009
Y1 - 2009
N2 - In this work, we consider a quasi-linear plate model with boundary memory damping. We prove that this system has a unique global solution when the initial data are small enough and the non-linear coefficient function, the memory damping as well as the geometry of the domain satisfy suitable assumptions. We also prove the exponential decay of the energy of the system.
AB - In this work, we consider a quasi-linear plate model with boundary memory damping. We prove that this system has a unique global solution when the initial data are small enough and the non-linear coefficient function, the memory damping as well as the geometry of the domain satisfy suitable assumptions. We also prove the exponential decay of the energy of the system.
KW - Boundary memory damping
KW - Exponential stability
KW - Global solution
KW - Quasi-linear system
UR - http://www.scopus.com/inward/record.url?scp=66649114794&partnerID=8YFLogxK
U2 - 10.1093/imamat/hxp018
DO - 10.1093/imamat/hxp018
M3 - Article
AN - SCOPUS:66649114794
SN - 0272-4960
VL - 74
SP - 374
EP - 391
JO - IMA Journal of Applied Mathematics
JF - IMA Journal of Applied Mathematics
IS - 3
ER -