TY - JOUR
T1 - Global existence and exponential stability for a quasilinear wave equation with memory damping at the boundary
AU - Zhang, Q.
PY - 2008/12
Y1 - 2008/12
N2 - In this paper, we focus on the global well-posedness of a quasilinear wave equation with a memory boundary condition. Under conditions on the geometry of the domain and the relaxation function describing the memory properties of the boundary, we obtain the existence, regularity and uniqueness of the global solution to the system. We prove also that the energy of the global solution to the system decays exponentially.
AB - In this paper, we focus on the global well-posedness of a quasilinear wave equation with a memory boundary condition. Under conditions on the geometry of the domain and the relaxation function describing the memory properties of the boundary, we obtain the existence, regularity and uniqueness of the global solution to the system. We prove also that the energy of the global solution to the system decays exponentially.
KW - Exponential stability
KW - Global existence
KW - Memory boundary condition
KW - Quasilinear wave equation
UR - http://www.scopus.com/inward/record.url?scp=55649097937&partnerID=8YFLogxK
U2 - 10.1007/s10957-008-9399-x
DO - 10.1007/s10957-008-9399-x
M3 - Article
AN - SCOPUS:55649097937
SN - 0022-3239
VL - 139
SP - 617
EP - 634
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 3
ER -