TY - JOUR
T1 - Finite dimensional exponential attractors for semilinear wave equations with damping
AU - Eden, A.
AU - Milani, A. J.
AU - Nicolaenko, B.
PY - 1992/9/15
Y1 - 1992/9/15
N2 - We consider the initial value problem for a class of second order evolution equations that includes, among others, the 3D sine-Gordon equation with damping and the 3D Klein-Gordon type equations with damping. We show the existence of a set with finite fractal dimension that contains the global attractor and attracts all smooth solutions at an exponential rate.
AB - We consider the initial value problem for a class of second order evolution equations that includes, among others, the 3D sine-Gordon equation with damping and the 3D Klein-Gordon type equations with damping. We show the existence of a set with finite fractal dimension that contains the global attractor and attracts all smooth solutions at an exponential rate.
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U2 - 10.1016/0022-247X(92)90087-T
DO - 10.1016/0022-247X(92)90087-T
M3 - Article
AN - SCOPUS:0000085549
SN - 0022-247X
VL - 169
SP - 408
EP - 419
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -